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Finding the Fourth Proportional to 52,306.68, 72,181.08 and 31,085.76

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Solution

The fourth proportional to 52,306.68, 72,181.08 and 31,085.76 is: 42,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306.68 : 72,181.08 = 31,085.76 : x
  2. Step 2: Convert to fraction form
    52,306.68/72,181.08 = 31,085.76/x
  3. Step 3: Cross multiply
    52,306.68x = 72,181.08 × 31,085.76
  4. Step 4: Simplify right side
    52,306.68x = 2,243,803,729.42
  5. Step 5: Solve for x
    x = 2,243,803,729.42/52,306.68
  6. Step 6: Final answer
    x = 42,897.08

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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.