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Finding the Fourth Proportional to 96,083.12, 144,145.68 and 29,528

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Solution

The fourth proportional to 96,083.12, 144,145.68 and 29,528 is: 44,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,083.12 : 144,145.68 = 29,528 : x
  2. Step 2: Convert to fraction form
    96,083.12/144,145.68 = 29,528/x
  3. Step 3: Cross multiply
    96,083.12x = 144,145.68 × 29,528
  4. Step 4: Simplify right side
    96,083.12x = 4,256,333,639.04
  5. Step 5: Solve for x
    x = 4,256,333,639.04/96,083.12
  6. Step 6: Final answer
    x = 44,298.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.