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Finding the Fourth Proportional to 32,585.83, 48,877.71 and 10,400.56

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Solution

The fourth proportional to 32,585.83, 48,877.71 and 10,400.56 is: 15,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.83 : 48,877.71 = 10,400.56 : x
  2. Step 2: Convert to fraction form
    32,585.83/48,877.71 = 10,400.56/x
  3. Step 3: Cross multiply
    32,585.83x = 48,877.71 × 10,400.56
  4. Step 4: Simplify right side
    32,585.83x = 508,355,555.52
  5. Step 5: Solve for x
    x = 508,355,555.52/32,585.83
  6. Step 6: Final answer
    x = 15,600.51

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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.