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Finding the Fourth Proportional to 52,030.56, 71,802.35 and 28,157.23

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Solution

The fourth proportional to 52,030.56, 71,802.35 and 28,157.23 is: 38,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.56 : 71,802.35 = 28,157.23 : x
  2. Step 2: Convert to fraction form
    52,030.56/71,802.35 = 28,157.23/x
  3. Step 3: Cross multiply
    52,030.56x = 71,802.35 × 28,157.23
  4. Step 4: Simplify right side
    52,030.56x = 2,021,755,283.49
  5. Step 5: Solve for x
    x = 2,021,755,283.49/52,030.56
  6. Step 6: Final answer
    x = 38,857.07

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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.