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Finding the Fourth Proportional to 101,442.60, 152,081.46 and 42,322.32

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Solution

The fourth proportional to 101,442.60, 152,081.46 and 42,322.32 is: 63,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442.60 : 152,081.46 = 42,322.32 : x
  2. Step 2: Convert to fraction form
    101,442.60/152,081.46 = 42,322.32/x
  3. Step 3: Cross multiply
    101,442.60x = 152,081.46 × 42,322.32
  4. Step 4: Simplify right side
    101,442.60x = 6,436,440,216.19
  5. Step 5: Solve for x
    x = 6,436,440,216.19/101,442.60
  6. Step 6: Final answer
    x = 63,449.09

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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.