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Finding the Fourth Proportional to 83,261, 114,897.84 and 45,534.44

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Solution

The fourth proportional to 83,261, 114,897.84 and 45,534.44 is: 62,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,261 : 114,897.84 = 45,534.44 : x
  2. Step 2: Convert to fraction form
    83,261/114,897.84 = 45,534.44/x
  3. Step 3: Cross multiply
    83,261x = 114,897.84 × 45,534.44
  4. Step 4: Simplify right side
    83,261x = 5,231,808,801.61
  5. Step 5: Solve for x
    x = 5,231,808,801.61/83,261
  6. Step 6: Final answer
    x = 62,836.25

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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.