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Finding the Fourth Proportional to 77,033.97, 106,297.11 and 45,191.25

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Solution

The fourth proportional to 77,033.97, 106,297.11 and 45,191.25 is: 62,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,033.97 : 106,297.11 = 45,191.25 : x
  2. Step 2: Convert to fraction form
    77,033.97/106,297.11 = 45,191.25/x
  3. Step 3: Cross multiply
    77,033.97x = 106,297.11 × 45,191.25
  4. Step 4: Simplify right side
    77,033.97x = 4,803,699,272.29
  5. Step 5: Solve for x
    x = 4,803,699,272.29/77,033.97
  6. Step 6: Final answer
    x = 62,358.19

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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.