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Finding the Fourth Proportional to 77,506.76, 106,755.62 and 59,567.44

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Solution

The fourth proportional to 77,506.76, 106,755.62 and 59,567.44 is: 82,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,506.76 : 106,755.62 = 59,567.44 : x
  2. Step 2: Convert to fraction form
    77,506.76/106,755.62 = 59,567.44/x
  3. Step 3: Cross multiply
    77,506.76x = 106,755.62 × 59,567.44
  4. Step 4: Simplify right side
    77,506.76x = 6,359,158,989.01
  5. Step 5: Solve for x
    x = 6,359,158,989.01/77,506.76
  6. Step 6: Final answer
    x = 82,046.51

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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.