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Finding the Fourth Proportional to 76,547.52, 114,798.96 and 29,789.28

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Solution

The fourth proportional to 76,547.52, 114,798.96 and 29,789.28 is: 44,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547.52 : 114,798.96 = 29,789.28 : x
  2. Step 2: Convert to fraction form
    76,547.52/114,798.96 = 29,789.28/x
  3. Step 3: Cross multiply
    76,547.52x = 114,798.96 × 29,789.28
  4. Step 4: Simplify right side
    76,547.52x = 3,419,778,363.15
  5. Step 5: Solve for x
    x = 3,419,778,363.15/76,547.52
  6. Step 6: Final answer
    x = 44,675.23

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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.