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Finding the Fourth Proportional to 50,458.60, 75,623.10 and 38,713.60

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Solution

The fourth proportional to 50,458.60, 75,623.10 and 38,713.60 is: 58,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458.60 : 75,623.10 = 38,713.60 : x
  2. Step 2: Convert to fraction form
    50,458.60/75,623.10 = 38,713.60/x
  3. Step 3: Cross multiply
    50,458.60x = 75,623.10 × 38,713.60
  4. Step 4: Simplify right side
    50,458.60x = 2,927,642,444.16
  5. Step 5: Solve for x
    x = 2,927,642,444.16/50,458.60
  6. Step 6: Final answer
    x = 58,020.68

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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.