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Finding the Fourth Proportional to 32,398.61, 48,597.92 and 9,024.98

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Solution

The fourth proportional to 32,398.61, 48,597.92 and 9,024.98 is: 13,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398.61 : 48,597.92 = 9,024.98 : x
  2. Step 2: Convert to fraction form
    32,398.61/48,597.92 = 9,024.98/x
  3. Step 3: Cross multiply
    32,398.61x = 48,597.92 × 9,024.98
  4. Step 4: Simplify right side
    32,398.61x = 438,595,210.92
  5. Step 5: Solve for x
    x = 438,595,210.92/32,398.61
  6. Step 6: Final answer
    x = 13,537.47

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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.