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Finding the Fourth Proportional to 32,046, 44,221.80 and 17,705.76

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Solution

The fourth proportional to 32,046, 44,221.80 and 17,705.76 is: 24,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046 : 44,221.80 = 17,705.76 : x
  2. Step 2: Convert to fraction form
    32,046/44,221.80 = 17,705.76/x
  3. Step 3: Cross multiply
    32,046x = 44,221.80 × 17,705.76
  4. Step 4: Simplify right side
    32,046x = 782,980,577.57
  5. Step 5: Solve for x
    x = 782,980,577.57/32,046
  6. Step 6: Final answer
    x = 24,433.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.