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Finding the Fourth Proportional to 92,031.60, 138,047.40 and 32,869.20

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Solution

The fourth proportional to 92,031.60, 138,047.40 and 32,869.20 is: 49,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,031.60 : 138,047.40 = 32,869.20 : x
  2. Step 2: Convert to fraction form
    92,031.60/138,047.40 = 32,869.20/x
  3. Step 3: Cross multiply
    92,031.60x = 138,047.40 × 32,869.20
  4. Step 4: Simplify right side
    92,031.60x = 4,537,507,600.08
  5. Step 5: Solve for x
    x = 4,537,507,600.08/92,031.60
  6. Step 6: Final answer
    x = 49,303.80

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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.