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Finding the Fourth Proportional to 59,138, 81,612.36 and 32,642

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Solution

The fourth proportional to 59,138, 81,612.36 and 32,642 is: 45,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,138 : 81,612.36 = 32,642 : x
  2. Step 2: Convert to fraction form
    59,138/81,612.36 = 32,642/x
  3. Step 3: Cross multiply
    59,138x = 81,612.36 × 32,642
  4. Step 4: Simplify right side
    59,138x = 2,663,990,655.12
  5. Step 5: Solve for x
    x = 2,663,990,655.12/59,138
  6. Step 6: Final answer
    x = 45,047.02

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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.