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Finding the Fourth Proportional to 38,106.01, 52,574.91 and 24,655.96

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Solution

The fourth proportional to 38,106.01, 52,574.91 and 24,655.96 is: 34,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.01 : 52,574.91 = 24,655.96 : x
  2. Step 2: Convert to fraction form
    38,106.01/52,574.91 = 24,655.96/x
  3. Step 3: Cross multiply
    38,106.01x = 52,574.91 × 24,655.96
  4. Step 4: Simplify right side
    38,106.01x = 1,296,284,851.22
  5. Step 5: Solve for x
    x = 1,296,284,851.22/38,106.01
  6. Step 6: Final answer
    x = 34,017.86

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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.