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Finding the Fourth Proportional to 51,805.50, 77,721.30 and 14,869.50

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Solution

The fourth proportional to 51,805.50, 77,721.30 and 14,869.50 is: 22,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.50 : 77,721.30 = 14,869.50 : x
  2. Step 2: Convert to fraction form
    51,805.50/77,721.30 = 14,869.50/x
  3. Step 3: Cross multiply
    51,805.50x = 77,721.30 × 14,869.50
  4. Step 4: Simplify right side
    51,805.50x = 1,155,676,870.35
  5. Step 5: Solve for x
    x = 1,155,676,870.35/51,805.50
  6. Step 6: Final answer
    x = 22,308.00

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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.