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Finding the Fourth Proportional to 51,054.76, 70,445.22 and 29,829.92

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Solution

The fourth proportional to 51,054.76, 70,445.22 and 29,829.92 is: 41,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,054.76 : 70,445.22 = 29,829.92 : x
  2. Step 2: Convert to fraction form
    51,054.76/70,445.22 = 29,829.92/x
  3. Step 3: Cross multiply
    51,054.76x = 70,445.22 × 29,829.92
  4. Step 4: Simplify right side
    51,054.76x = 2,101,375,276.98
  5. Step 5: Solve for x
    x = 2,101,375,276.98/51,054.76
  6. Step 6: Final answer
    x = 41,159.24

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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.