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Finding the Fourth Proportional to 51,374.53, 77,061.80 and 14,438.53

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Solution

The fourth proportional to 51,374.53, 77,061.80 and 14,438.53 is: 21,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,374.53 : 77,061.80 = 14,438.53 : x
  2. Step 2: Convert to fraction form
    51,374.53/77,061.80 = 14,438.53/x
  3. Step 3: Cross multiply
    51,374.53x = 77,061.80 × 14,438.53
  4. Step 4: Simplify right side
    51,374.53x = 1,112,659,111.15
  5. Step 5: Solve for x
    x = 1,112,659,111.15/51,374.53
  6. Step 6: Final answer
    x = 21,657.80

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Why These Related Problems?

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