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Finding the Fourth Proportional to 51,377.81, 77,071.84 and 13,938.50

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Solution

The fourth proportional to 51,377.81, 77,071.84 and 13,938.50 is: 20,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,377.81 : 77,071.84 = 13,938.50 : x
  2. Step 2: Convert to fraction form
    51,377.81/77,071.84 = 13,938.50/x
  3. Step 3: Cross multiply
    51,377.81x = 77,071.84 × 13,938.50
  4. Step 4: Simplify right side
    51,377.81x = 1,074,265,421.63
  5. Step 5: Solve for x
    x = 1,074,265,421.63/51,377.81
  6. Step 6: Final answer
    x = 20,909.13

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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.