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Finding the Fourth Proportional to 75,298.84, 112,726.33 and 65,957.11

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Solution

The fourth proportional to 75,298.84, 112,726.33 and 65,957.11 is: 98,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.84 : 112,726.33 = 65,957.11 : x
  2. Step 2: Convert to fraction form
    75,298.84/112,726.33 = 65,957.11/x
  3. Step 3: Cross multiply
    75,298.84x = 112,726.33 × 65,957.11
  4. Step 4: Simplify right side
    75,298.84x = 7,435,102,947.71
  5. Step 5: Solve for x
    x = 7,435,102,947.71/75,298.84
  6. Step 6: Final answer
    x = 98,741.27

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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.