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Finding the Fourth Proportional to 52,225.41, 72,070.29 and 29,568.72

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Solution

The fourth proportional to 52,225.41, 72,070.29 and 29,568.72 is: 40,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,225.41 : 72,070.29 = 29,568.72 : x
  2. Step 2: Convert to fraction form
    52,225.41/72,070.29 = 29,568.72/x
  3. Step 3: Cross multiply
    52,225.41x = 72,070.29 × 29,568.72
  4. Step 4: Simplify right side
    52,225.41x = 2,131,026,225.33
  5. Step 5: Solve for x
    x = 2,131,026,225.33/52,225.41
  6. Step 6: Final answer
    x = 40,804.39

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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.