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Finding the Fourth Proportional to 55,219.40, 82,829.10 and 46,471.40

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Solution

The fourth proportional to 55,219.40, 82,829.10 and 46,471.40 is: 69,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,219.40 : 82,829.10 = 46,471.40 : x
  2. Step 2: Convert to fraction form
    55,219.40/82,829.10 = 46,471.40/x
  3. Step 3: Cross multiply
    55,219.40x = 82,829.10 × 46,471.40
  4. Step 4: Simplify right side
    55,219.40x = 3,849,184,237.74
  5. Step 5: Solve for x
    x = 3,849,184,237.74/55,219.40
  6. Step 6: Final answer
    x = 69,707.10

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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.