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Finding the Fourth Proportional to 51,931.90, 77,897.80 and 12,489

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Solution

The fourth proportional to 51,931.90, 77,897.80 and 12,489 is: 18,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,931.90 : 77,897.80 = 12,489 : x
  2. Step 2: Convert to fraction form
    51,931.90/77,897.80 = 12,489/x
  3. Step 3: Cross multiply
    51,931.90x = 77,897.80 × 12,489
  4. Step 4: Simplify right side
    51,931.90x = 972,865,624.20
  5. Step 5: Solve for x
    x = 972,865,624.20/51,931.90
  6. Step 6: Final answer
    x = 18,733.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.