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Finding the Fourth Proportional to 52,547.28, 78,854.04 and 35,029.68

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Solution

The fourth proportional to 52,547.28, 78,854.04 and 35,029.68 is: 52,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,547.28 : 78,854.04 = 35,029.68 : x
  2. Step 2: Convert to fraction form
    52,547.28/78,854.04 = 35,029.68/x
  3. Step 3: Cross multiply
    52,547.28x = 78,854.04 × 35,029.68
  4. Step 4: Simplify right side
    52,547.28x = 2,762,231,787.91
  5. Step 5: Solve for x
    x = 2,762,231,787.91/52,547.28
  6. Step 6: Final answer
    x = 52,566.60

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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.