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Finding the Fourth Proportional to 59,332, 81,878.16 and 32,836

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Solution

The fourth proportional to 59,332, 81,878.16 and 32,836 is: 45,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,332 : 81,878.16 = 32,836 : x
  2. Step 2: Convert to fraction form
    59,332/81,878.16 = 32,836/x
  3. Step 3: Cross multiply
    59,332x = 81,878.16 × 32,836
  4. Step 4: Simplify right side
    59,332x = 2,688,551,261.76
  5. Step 5: Solve for x
    x = 2,688,551,261.76/59,332
  6. Step 6: Final answer
    x = 45,313.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.