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Finding the Fourth Proportional to 32,627.53, 48,935.76 and 9,248.50

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Solution

The fourth proportional to 32,627.53, 48,935.76 and 9,248.50 is: 13,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,627.53 : 48,935.76 = 9,248.50 : x
  2. Step 2: Convert to fraction form
    32,627.53/48,935.76 = 9,248.50/x
  3. Step 3: Cross multiply
    32,627.53x = 48,935.76 × 9,248.50
  4. Step 4: Simplify right side
    32,627.53x = 452,582,376.36
  5. Step 5: Solve for x
    x = 452,582,376.36/32,627.53
  6. Step 6: Final answer
    x = 13,871.18

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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.