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Finding the Fourth Proportional to 119,669, 179,503.50 and 32,117

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Solution

The fourth proportional to 119,669, 179,503.50 and 32,117 is: 48,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,669 : 179,503.50 = 32,117 : x
  2. Step 2: Convert to fraction form
    119,669/179,503.50 = 32,117/x
  3. Step 3: Cross multiply
    119,669x = 179,503.50 × 32,117
  4. Step 4: Simplify right side
    119,669x = 5,765,113,909.50
  5. Step 5: Solve for x
    x = 5,765,113,909.50/119,669
  6. Step 6: Final answer
    x = 48,175.50

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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.