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Finding the Fourth Proportional to 52,538.55, 72,521.90 and 31,028.38

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Solution

The fourth proportional to 52,538.55, 72,521.90 and 31,028.38 is: 42,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.55 : 72,521.90 = 31,028.38 : x
  2. Step 2: Convert to fraction form
    52,538.55/72,521.90 = 31,028.38/x
  3. Step 3: Cross multiply
    52,538.55x = 72,521.90 × 31,028.38
  4. Step 4: Simplify right side
    52,538.55x = 2,250,237,071.52
  5. Step 5: Solve for x
    x = 2,250,237,071.52/52,538.55
  6. Step 6: Final answer
    x = 42,830.21

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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.