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Finding the Fourth Proportional to 52,000.95, 77,976.72 and 25,674.93

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Solution

The fourth proportional to 52,000.95, 77,976.72 and 25,674.93 is: 38,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000.95 : 77,976.72 = 25,674.93 : x
  2. Step 2: Convert to fraction form
    52,000.95/77,976.72 = 25,674.93/x
  3. Step 3: Cross multiply
    52,000.95x = 77,976.72 × 25,674.93
  4. Step 4: Simplify right side
    52,000.95x = 2,002,046,827.63
  5. Step 5: Solve for x
    x = 2,002,046,827.63/52,000.95
  6. Step 6: Final answer
    x = 38,500.20

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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.