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Finding the Fourth Proportional to 67,780.40, 101,699.76 and 32,746.32

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Solution

The fourth proportional to 67,780.40, 101,699.76 and 32,746.32 is: 49,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,780.40 : 101,699.76 = 32,746.32 : x
  2. Step 2: Convert to fraction form
    67,780.40/101,699.76 = 32,746.32/x
  3. Step 3: Cross multiply
    67,780.40x = 101,699.76 × 32,746.32
  4. Step 4: Simplify right side
    67,780.40x = 3,330,292,884.88
  5. Step 5: Solve for x
    x = 3,330,292,884.88/67,780.40
  6. Step 6: Final answer
    x = 49,133.57

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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.