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Finding the Fourth Proportional to 52,875.50, 79,304.74 and 15,426.78

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Solution

The fourth proportional to 52,875.50, 79,304.74 and 15,426.78 is: 23,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,875.50 : 79,304.74 = 15,426.78 : x
  2. Step 2: Convert to fraction form
    52,875.50/79,304.74 = 15,426.78/x
  3. Step 3: Cross multiply
    52,875.50x = 79,304.74 × 15,426.78
  4. Step 4: Simplify right side
    52,875.50x = 1,223,416,776.94
  5. Step 5: Solve for x
    x = 1,223,416,776.94/52,875.50
  6. Step 6: Final answer
    x = 23,137.69

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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.