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Finding the Fourth Proportional to 32,557.85, 48,840.42 and 10,366.08

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Solution

The fourth proportional to 32,557.85, 48,840.42 and 10,366.08 is: 15,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.85 : 48,840.42 = 10,366.08 : x
  2. Step 2: Convert to fraction form
    32,557.85/48,840.42 = 10,366.08/x
  3. Step 3: Cross multiply
    32,557.85x = 48,840.42 × 10,366.08
  4. Step 4: Simplify right side
    32,557.85x = 506,283,700.95
  5. Step 5: Solve for x
    x = 506,283,700.95/32,557.85
  6. Step 6: Final answer
    x = 15,550.28

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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.