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Finding the Fourth Proportional to 52,138.01, 78,013.19 and 31,089.49

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Solution

The fourth proportional to 52,138.01, 78,013.19 and 31,089.49 is: 46,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138.01 : 78,013.19 = 31,089.49 : x
  2. Step 2: Convert to fraction form
    52,138.01/78,013.19 = 31,089.49/x
  3. Step 3: Cross multiply
    52,138.01x = 78,013.19 × 31,089.49
  4. Step 4: Simplify right side
    52,138.01x = 2,425,390,173.06
  5. Step 5: Solve for x
    x = 2,425,390,173.06/52,138.01
  6. Step 6: Final answer
    x = 46,518.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.