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Finding the Fourth Proportional to 97,322.49, 134,282.07 and 59,081.07

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Solution

The fourth proportional to 97,322.49, 134,282.07 and 59,081.07 is: 81,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,322.49 : 134,282.07 = 59,081.07 : x
  2. Step 2: Convert to fraction form
    97,322.49/134,282.07 = 59,081.07/x
  3. Step 3: Cross multiply
    97,322.49x = 134,282.07 × 59,081.07
  4. Step 4: Simplify right side
    97,322.49x = 7,933,528,377.41
  5. Step 5: Solve for x
    x = 7,933,528,377.41/97,322.49
  6. Step 6: Final answer
    x = 81,517.93

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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.