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Finding the Fourth Proportional to 137,005.48, 205,535.76 and 48,321.82

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Solution

The fourth proportional to 137,005.48, 205,535.76 and 48,321.82 is: 72,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,005.48 : 205,535.76 = 48,321.82 : x
  2. Step 2: Convert to fraction form
    137,005.48/205,535.76 = 48,321.82/x
  3. Step 3: Cross multiply
    137,005.48x = 205,535.76 × 48,321.82
  4. Step 4: Simplify right side
    137,005.48x = 9,931,861,998.28
  5. Step 5: Solve for x
    x = 9,931,861,998.28/137,005.48
  6. Step 6: Final answer
    x = 72,492.44

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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.