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Finding the Fourth Proportional to 100,595.68, 138,834.30 and 57,591.16

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Solution

The fourth proportional to 100,595.68, 138,834.30 and 57,591.16 is: 79,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595.68 : 138,834.30 = 57,591.16 : x
  2. Step 2: Convert to fraction form
    100,595.68/138,834.30 = 57,591.16/x
  3. Step 3: Cross multiply
    100,595.68x = 138,834.30 × 57,591.16
  4. Step 4: Simplify right side
    100,595.68x = 7,995,628,384.79
  5. Step 5: Solve for x
    x = 7,995,628,384.79/100,595.68
  6. Step 6: Final answer
    x = 79,482.82

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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.