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Finding the Fourth Proportional to 5,057,776.64, 7,584,667.93 and 2,024,577.13

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Solution

The fourth proportional to 5,057,776.64, 7,584,667.93 and 2,024,577.13 is: 3,036,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057,776.64 : 7,584,667.93 = 2,024,577.13 : x
  2. Step 2: Convert to fraction form
    5,057,776.64/7,584,667.93 = 2,024,577.13/x
  3. Step 3: Cross multiply
    5,057,776.64x = 7,584,667.93 × 2,024,577.13
  4. Step 4: Simplify right side
    5,057,776.64x = 15,355,745,216,124.50
  5. Step 5: Solve for x
    x = 15,355,745,216,124.50/5,057,776.64
  6. Step 6: Final answer
    x = 3,036,066.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.