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Finding the Fourth Proportional to 81,708.66, 112,805.22 and 53,463.60

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Solution

The fourth proportional to 81,708.66, 112,805.22 and 53,463.60 is: 73,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,708.66 : 112,805.22 = 53,463.60 : x
  2. Step 2: Convert to fraction form
    81,708.66/112,805.22 = 53,463.60/x
  3. Step 3: Cross multiply
    81,708.66x = 112,805.22 × 53,463.60
  4. Step 4: Simplify right side
    81,708.66x = 6,030,973,159.99
  5. Step 5: Solve for x
    x = 6,030,973,159.99/81,708.66
  6. Step 6: Final answer
    x = 73,810.70

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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.