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Finding the Fourth Proportional to 52,314.34, 72,146.55 and 34,402.54

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Solution

The fourth proportional to 52,314.34, 72,146.55 and 34,402.54 is: 47,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,314.34 : 72,146.55 = 34,402.54 : x
  2. Step 2: Convert to fraction form
    52,314.34/72,146.55 = 34,402.54/x
  3. Step 3: Cross multiply
    52,314.34x = 72,146.55 × 34,402.54
  4. Step 4: Simplify right side
    52,314.34x = 2,482,024,572.24
  5. Step 5: Solve for x
    x = 2,482,024,572.24/52,314.34
  6. Step 6: Final answer
    x = 47,444.44

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