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Finding the Fourth Proportional to 52,030.75, 71,802.65 and 28,157.42

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Solution

The fourth proportional to 52,030.75, 71,802.65 and 28,157.42 is: 38,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.75 : 71,802.65 = 28,157.42 : x
  2. Step 2: Convert to fraction form
    52,030.75/71,802.65 = 28,157.42/x
  3. Step 3: Cross multiply
    52,030.75x = 71,802.65 × 28,157.42
  4. Step 4: Simplify right side
    52,030.75x = 2,021,777,373.16
  5. Step 5: Solve for x
    x = 2,021,777,373.16/52,030.75
  6. Step 6: Final answer
    x = 38,857.36

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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.