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Finding the Fourth Proportional to 65,970.50, 98,593.54 and 48,238.50

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Solution

The fourth proportional to 65,970.50, 98,593.54 and 48,238.50 is: 72,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,970.50 : 98,593.54 = 48,238.50 : x
  2. Step 2: Convert to fraction form
    65,970.50/98,593.54 = 48,238.50/x
  3. Step 3: Cross multiply
    65,970.50x = 98,593.54 × 48,238.50
  4. Step 4: Simplify right side
    65,970.50x = 4,756,004,479.29
  5. Step 5: Solve for x
    x = 4,756,004,479.29/65,970.50
  6. Step 6: Final answer
    x = 72,092.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.