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Finding the Fourth Proportional to 32,242.12, 48,374.46 and 12,534.50

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Solution

The fourth proportional to 32,242.12, 48,374.46 and 12,534.50 is: 18,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242.12 : 48,374.46 = 12,534.50 : x
  2. Step 2: Convert to fraction form
    32,242.12/48,374.46 = 12,534.50/x
  3. Step 3: Cross multiply
    32,242.12x = 48,374.46 × 12,534.50
  4. Step 4: Simplify right side
    32,242.12x = 606,349,789.81
  5. Step 5: Solve for x
    x = 606,349,789.81/32,242.12
  6. Step 6: Final answer
    x = 18,806.14

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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.