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Finding the Fourth Proportional to 32,470.70, 48,707.65 and 16,918.70

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Solution

The fourth proportional to 32,470.70, 48,707.65 and 16,918.70 is: 25,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.70 : 48,707.65 = 16,918.70 : x
  2. Step 2: Convert to fraction form
    32,470.70/48,707.65 = 16,918.70/x
  3. Step 3: Cross multiply
    32,470.70x = 48,707.65 × 16,918.70
  4. Step 4: Simplify right side
    32,470.70x = 824,070,118.06
  5. Step 5: Solve for x
    x = 824,070,118.06/32,470.70
  6. Step 6: Final answer
    x = 25,378.88

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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.