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Finding the Fourth Proportional to 52,534.12, 72,503.46 and 38,379.88

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Solution

The fourth proportional to 52,534.12, 72,503.46 and 38,379.88 is: 52,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,534.12 : 72,503.46 = 38,379.88 : x
  2. Step 2: Convert to fraction form
    52,534.12/72,503.46 = 38,379.88/x
  3. Step 3: Cross multiply
    52,534.12x = 72,503.46 × 38,379.88
  4. Step 4: Simplify right side
    52,534.12x = 2,782,674,094.38
  5. Step 5: Solve for x
    x = 2,782,674,094.38/52,534.12
  6. Step 6: Final answer
    x = 52,968.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.