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Finding the Fourth Proportional to 52,177.42, 77,638.50 and 52,002.46

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Solution

The fourth proportional to 52,177.42, 77,638.50 and 52,002.46 is: 77,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177.42 : 77,638.50 = 52,002.46 : x
  2. Step 2: Convert to fraction form
    52,177.42/77,638.50 = 52,002.46/x
  3. Step 3: Cross multiply
    52,177.42x = 77,638.50 × 52,002.46
  4. Step 4: Simplify right side
    52,177.42x = 4,037,392,990.71
  5. Step 5: Solve for x
    x = 4,037,392,990.71/52,177.42
  6. Step 6: Final answer
    x = 77,378.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.