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Finding the Fourth Proportional to 32,585.24, 48,878.72 and 10,398.59

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Solution

The fourth proportional to 32,585.24, 48,878.72 and 10,398.59 is: 15,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.24 : 48,878.72 = 10,398.59 : x
  2. Step 2: Convert to fraction form
    32,585.24/48,878.72 = 10,398.59/x
  3. Step 3: Cross multiply
    32,585.24x = 48,878.72 × 10,398.59
  4. Step 4: Simplify right side
    32,585.24x = 508,269,717.01
  5. Step 5: Solve for x
    x = 508,269,717.01/32,585.24
  6. Step 6: Final answer
    x = 15,598.16

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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.