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Finding the Fourth Proportional to 137,045.36, 205,592.34 and 48,350.36

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Solution

The fourth proportional to 137,045.36, 205,592.34 and 48,350.36 is: 72,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,045.36 : 205,592.34 = 48,350.36 : x
  2. Step 2: Convert to fraction form
    137,045.36/205,592.34 = 48,350.36/x
  3. Step 3: Cross multiply
    137,045.36x = 205,592.34 × 48,350.36
  4. Step 4: Simplify right side
    137,045.36x = 9,940,463,652.24
  5. Step 5: Solve for x
    x = 9,940,463,652.24/137,045.36
  6. Step 6: Final answer
    x = 72,534.11

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Why These Related Problems?

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