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Finding the Fourth Proportional to 52,095.54, 77,972.82 and 28,343.76

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Solution

The fourth proportional to 52,095.54, 77,972.82 and 28,343.76 is: 42,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.54 : 77,972.82 = 28,343.76 : x
  2. Step 2: Convert to fraction form
    52,095.54/77,972.82 = 28,343.76/x
  3. Step 3: Cross multiply
    52,095.54x = 77,972.82 × 28,343.76
  4. Step 4: Simplify right side
    52,095.54x = 2,210,042,896.60
  5. Step 5: Solve for x
    x = 2,210,042,896.60/52,095.54
  6. Step 6: Final answer
    x = 42,422.88

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1.5x scale

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.