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Finding the Fourth Proportional to 32,024.16, 48,037.62 and 9,838.40

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Solution

The fourth proportional to 32,024.16, 48,037.62 and 9,838.40 is: 14,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.16 : 48,037.62 = 9,838.40 : x
  2. Step 2: Convert to fraction form
    32,024.16/48,037.62 = 9,838.40/x
  3. Step 3: Cross multiply
    32,024.16x = 48,037.62 × 9,838.40
  4. Step 4: Simplify right side
    32,024.16x = 472,613,320.61
  5. Step 5: Solve for x
    x = 472,613,320.61/32,024.16
  6. Step 6: Final answer
    x = 14,758.02

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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.