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Finding the Fourth Proportional to 52,106.29, 71,918.48 and 29,458.38

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Solution

The fourth proportional to 52,106.29, 71,918.48 and 29,458.38 is: 40,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.29 : 71,918.48 = 29,458.38 : x
  2. Step 2: Convert to fraction form
    52,106.29/71,918.48 = 29,458.38/x
  3. Step 3: Cross multiply
    52,106.29x = 71,918.48 × 29,458.38
  4. Step 4: Simplify right side
    52,106.29x = 2,118,602,256.20
  5. Step 5: Solve for x
    x = 2,118,602,256.20/52,106.29
  6. Step 6: Final answer
    x = 40,659.24

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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.