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Finding the Fourth Proportional to 70,875.20, 106,312.80 and 48,756.80

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Solution

The fourth proportional to 70,875.20, 106,312.80 and 48,756.80 is: 73,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,875.20 : 106,312.80 = 48,756.80 : x
  2. Step 2: Convert to fraction form
    70,875.20/106,312.80 = 48,756.80/x
  3. Step 3: Cross multiply
    70,875.20x = 106,312.80 × 48,756.80
  4. Step 4: Simplify right side
    70,875.20x = 5,183,471,927.04
  5. Step 5: Solve for x
    x = 5,183,471,927.04/70,875.20
  6. Step 6: Final answer
    x = 73,135.20

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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.