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Finding the Fourth Proportional to 97,238.76, 145,882.72 and 27,118.08

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Solution

The fourth proportional to 97,238.76, 145,882.72 and 27,118.08 is: 40,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238.76 : 145,882.72 = 27,118.08 : x
  2. Step 2: Convert to fraction form
    97,238.76/145,882.72 = 27,118.08/x
  3. Step 3: Cross multiply
    97,238.76x = 145,882.72 × 27,118.08
  4. Step 4: Simplify right side
    97,238.76x = 3,956,059,271.58
  5. Step 5: Solve for x
    x = 3,956,059,271.58/97,238.76
  6. Step 6: Final answer
    x = 40,683.97

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1.5x scale

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.