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Finding the Fourth Proportional to 32,442.40, 48,663.60 and 25,881.40

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Solution

The fourth proportional to 32,442.40, 48,663.60 and 25,881.40 is: 38,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.40 : 48,663.60 = 25,881.40 : x
  2. Step 2: Convert to fraction form
    32,442.40/48,663.60 = 25,881.40/x
  3. Step 3: Cross multiply
    32,442.40x = 48,663.60 × 25,881.40
  4. Step 4: Simplify right side
    32,442.40x = 1,259,482,097.04
  5. Step 5: Solve for x
    x = 1,259,482,097.04/32,442.40
  6. Step 6: Final answer
    x = 38,822.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.