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Finding the Fourth Proportional to 96,250, 144,388.56 and 29,695.52

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Solution

The fourth proportional to 96,250, 144,388.56 and 29,695.52 is: 44,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250 : 144,388.56 = 29,695.52 : x
  2. Step 2: Convert to fraction form
    96,250/144,388.56 = 29,695.52/x
  3. Step 3: Cross multiply
    96,250x = 144,388.56 × 29,695.52
  4. Step 4: Simplify right side
    96,250x = 4,287,693,371.25
  5. Step 5: Solve for x
    x = 4,287,693,371.25/96,250
  6. Step 6: Final answer
    x = 44,547.46

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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.