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Finding the Fourth Proportional to 59,206.84, 88,811.24 and 19,764.16

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Solution

The fourth proportional to 59,206.84, 88,811.24 and 19,764.16 is: 29,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,206.84 : 88,811.24 = 19,764.16 : x
  2. Step 2: Convert to fraction form
    59,206.84/88,811.24 = 19,764.16/x
  3. Step 3: Cross multiply
    59,206.84x = 88,811.24 × 19,764.16
  4. Step 4: Simplify right side
    59,206.84x = 1,755,279,557.16
  5. Step 5: Solve for x
    x = 1,755,279,557.16/59,206.84
  6. Step 6: Final answer
    x = 29,646.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.