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Finding the Fourth Proportional to 78,547.12, 108,395.49 and 42,737.38

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Solution

The fourth proportional to 78,547.12, 108,395.49 and 42,737.38 is: 58,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,547.12 : 108,395.49 = 42,737.38 : x
  2. Step 2: Convert to fraction form
    78,547.12/108,395.49 = 42,737.38/x
  3. Step 3: Cross multiply
    78,547.12x = 108,395.49 × 42,737.38
  4. Step 4: Simplify right side
    78,547.12x = 4,632,539,246.42
  5. Step 5: Solve for x
    x = 4,632,539,246.42/78,547.12
  6. Step 6: Final answer
    x = 58,977.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.