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Finding the Fourth Proportional to 92,090.98, 138,159.47 and 32,120.32

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Solution

The fourth proportional to 92,090.98, 138,159.47 and 32,120.32 is: 48,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,090.98 : 138,159.47 = 32,120.32 : x
  2. Step 2: Convert to fraction form
    92,090.98/138,159.47 = 32,120.32/x
  3. Step 3: Cross multiply
    92,090.98x = 138,159.47 × 32,120.32
  4. Step 4: Simplify right side
    92,090.98x = 4,437,726,140.48
  5. Step 5: Solve for x
    x = 4,437,726,140.48/92,090.98
  6. Step 6: Final answer
    x = 48,188.50

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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.