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Finding the Fourth Proportional to 42,166.40, 63,134.40 and 32,950.40

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Solution

The fourth proportional to 42,166.40, 63,134.40 and 32,950.40 is: 49,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,166.40 : 63,134.40 = 32,950.40 : x
  2. Step 2: Convert to fraction form
    42,166.40/63,134.40 = 32,950.40/x
  3. Step 3: Cross multiply
    42,166.40x = 63,134.40 × 32,950.40
  4. Step 4: Simplify right side
    42,166.40x = 2,080,303,733.76
  5. Step 5: Solve for x
    x = 2,080,303,733.76/42,166.40
  6. Step 6: Final answer
    x = 49,335.58

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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.