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Finding the Fourth Proportional to 32,842.60, 49,253.98 and 13,123.88

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Solution

The fourth proportional to 32,842.60, 49,253.98 and 13,123.88 is: 19,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.60 : 49,253.98 = 13,123.88 : x
  2. Step 2: Convert to fraction form
    32,842.60/49,253.98 = 13,123.88/x
  3. Step 3: Cross multiply
    32,842.60x = 49,253.98 × 13,123.88
  4. Step 4: Simplify right side
    32,842.60x = 646,403,323.04
  5. Step 5: Solve for x
    x = 646,403,323.04/32,842.60
  6. Step 6: Final answer
    x = 19,681.86

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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.