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Finding the Fourth Proportional to 77,672.16, 116,507.88 and 24,368.04

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Solution

The fourth proportional to 77,672.16, 116,507.88 and 24,368.04 is: 36,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.16 : 116,507.88 = 24,368.04 : x
  2. Step 2: Convert to fraction form
    77,672.16/116,507.88 = 24,368.04/x
  3. Step 3: Cross multiply
    77,672.16x = 116,507.88 × 24,368.04
  4. Step 4: Simplify right side
    77,672.16x = 2,839,068,680.16
  5. Step 5: Solve for x
    x = 2,839,068,680.16/77,672.16
  6. Step 6: Final answer
    x = 36,551.95

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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.