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Finding the Fourth Proportional to 83,262.80, 114,762.71 and 63,113.24

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Solution

The fourth proportional to 83,262.80, 114,762.71 and 63,113.24 is: 86,990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262.80 : 114,762.71 = 63,113.24 : x
  2. Step 2: Convert to fraction form
    83,262.80/114,762.71 = 63,113.24/x
  3. Step 3: Cross multiply
    83,262.80x = 114,762.71 × 63,113.24
  4. Step 4: Simplify right side
    83,262.80x = 7,243,045,569.90
  5. Step 5: Solve for x
    x = 7,243,045,569.90/83,262.80
  6. Step 6: Final answer
    x = 86,990.18

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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.