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Finding the Fourth Proportional to 77,505.76, 106,754.24 and 59,566.44

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Solution

The fourth proportional to 77,505.76, 106,754.24 and 59,566.44 is: 82,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,505.76 : 106,754.24 = 59,566.44 : x
  2. Step 2: Convert to fraction form
    77,505.76/106,754.24 = 59,566.44/x
  3. Step 3: Cross multiply
    77,505.76x = 106,754.24 × 59,566.44
  4. Step 4: Simplify right side
    77,505.76x = 6,358,970,031.71
  5. Step 5: Solve for x
    x = 6,358,970,031.71/77,505.76
  6. Step 6: Final answer
    x = 82,045.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.