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Finding the Fourth Proportional to 52,506.46, 78,736.65 and 19,217.90

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Solution

The fourth proportional to 52,506.46, 78,736.65 and 19,217.90 is: 28,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.46 : 78,736.65 = 19,217.90 : x
  2. Step 2: Convert to fraction form
    52,506.46/78,736.65 = 19,217.90/x
  3. Step 3: Cross multiply
    52,506.46x = 78,736.65 × 19,217.90
  4. Step 4: Simplify right side
    52,506.46x = 1,513,153,066.04
  5. Step 5: Solve for x
    x = 1,513,153,066.04/52,506.46
  6. Step 6: Final answer
    x = 28,818.42

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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.