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Finding the Fourth Proportional to 51,645.38, 77,470.95 and 14,706.50

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Solution

The fourth proportional to 51,645.38, 77,470.95 and 14,706.50 is: 22,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,645.38 : 77,470.95 = 14,706.50 : x
  2. Step 2: Convert to fraction form
    51,645.38/77,470.95 = 14,706.50/x
  3. Step 3: Cross multiply
    51,645.38x = 77,470.95 × 14,706.50
  4. Step 4: Simplify right side
    51,645.38x = 1,139,326,526.18
  5. Step 5: Solve for x
    x = 1,139,326,526.18/51,645.38
  6. Step 6: Final answer
    x = 22,060.57

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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.