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Finding the Fourth Proportional to 101,594.32, 152,405.76 and 42,416.53

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Solution

The fourth proportional to 101,594.32, 152,405.76 and 42,416.53 is: 63,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.32 : 152,405.76 = 42,416.53 : x
  2. Step 2: Convert to fraction form
    101,594.32/152,405.76 = 42,416.53/x
  3. Step 3: Cross multiply
    101,594.32x = 152,405.76 × 42,416.53
  4. Step 4: Simplify right side
    101,594.32x = 6,464,523,269.26
  5. Step 5: Solve for x
    x = 6,464,523,269.26/101,594.32
  6. Step 6: Final answer
    x = 63,630.76

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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.