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Finding the Fourth Proportional to 92,202.32, 138,389.88 and 47,860.40

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Solution

The fourth proportional to 92,202.32, 138,389.88 and 47,860.40 is: 71,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202.32 : 138,389.88 = 47,860.40 : x
  2. Step 2: Convert to fraction form
    92,202.32/138,389.88 = 47,860.40/x
  3. Step 3: Cross multiply
    92,202.32x = 138,389.88 × 47,860.40
  4. Step 4: Simplify right side
    92,202.32x = 6,623,395,012.75
  5. Step 5: Solve for x
    x = 6,623,395,012.75/92,202.32
  6. Step 6: Final answer
    x = 71,835.45

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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.