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Finding the Fourth Proportional to 105,023.64, 157,482.90 and 34,878.36

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Solution

The fourth proportional to 105,023.64, 157,482.90 and 34,878.36 is: 52,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,023.64 : 157,482.90 = 34,878.36 : x
  2. Step 2: Convert to fraction form
    105,023.64/157,482.90 = 34,878.36/x
  3. Step 3: Cross multiply
    105,023.64x = 157,482.90 × 34,878.36
  4. Step 4: Simplify right side
    105,023.64x = 5,492,745,280.04
  5. Step 5: Solve for x
    x = 5,492,745,280.04/105,023.64
  6. Step 6: Final answer
    x = 52,300.08

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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.