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Finding the Fourth Proportional to 98,509.47, 147,737.28 and 35,317.85

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Solution

The fourth proportional to 98,509.47, 147,737.28 and 35,317.85 is: 52,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,509.47 : 147,737.28 = 35,317.85 : x
  2. Step 2: Convert to fraction form
    98,509.47/147,737.28 = 35,317.85/x
  3. Step 3: Cross multiply
    98,509.47x = 147,737.28 × 35,317.85
  4. Step 4: Simplify right side
    98,509.47x = 5,217,762,289.54
  5. Step 5: Solve for x
    x = 5,217,762,289.54/98,509.47
  6. Step 6: Final answer
    x = 52,967.12

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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.