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Finding the Fourth Proportional to 99,632, 137,492.84 and 59,347.46

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Solution

The fourth proportional to 99,632, 137,492.84 and 59,347.46 is: 81,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,632 : 137,492.84 = 59,347.46 : x
  2. Step 2: Convert to fraction form
    99,632/137,492.84 = 59,347.46/x
  3. Step 3: Cross multiply
    99,632x = 137,492.84 × 59,347.46
  4. Step 4: Simplify right side
    99,632x = 8,159,850,822.19
  5. Step 5: Solve for x
    x = 8,159,850,822.19/99,632
  6. Step 6: Final answer
    x = 81,899.90

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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.