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Finding the Fourth Proportional to 49,510.86, 74,270.66 and 13,972.50

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Solution

The fourth proportional to 49,510.86, 74,270.66 and 13,972.50 is: 20,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,510.86 : 74,270.66 = 13,972.50 : x
  2. Step 2: Convert to fraction form
    49,510.86/74,270.66 = 13,972.50/x
  3. Step 3: Cross multiply
    49,510.86x = 74,270.66 × 13,972.50
  4. Step 4: Simplify right side
    49,510.86x = 1,037,746,796.85
  5. Step 5: Solve for x
    x = 1,037,746,796.85/49,510.86
  6. Step 6: Final answer
    x = 20,959.98

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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.