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Finding the Fourth Proportional to 32,730.16, 49,098.06 and 9,037.71

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Solution

The fourth proportional to 32,730.16, 49,098.06 and 9,037.71 is: 13,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730.16 : 49,098.06 = 9,037.71 : x
  2. Step 2: Convert to fraction form
    32,730.16/49,098.06 = 9,037.71/x
  3. Step 3: Cross multiply
    32,730.16x = 49,098.06 × 9,037.71
  4. Step 4: Simplify right side
    32,730.16x = 443,734,027.84
  5. Step 5: Solve for x
    x = 443,734,027.84/32,730.16
  6. Step 6: Final answer
    x = 13,557.34

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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.