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Finding the Fourth Proportional to 48,233.76, 72,353.04 and 14,976.48

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Solution

The fourth proportional to 48,233.76, 72,353.04 and 14,976.48 is: 22,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,233.76 : 72,353.04 = 14,976.48 : x
  2. Step 2: Convert to fraction form
    48,233.76/72,353.04 = 14,976.48/x
  3. Step 3: Cross multiply
    48,233.76x = 72,353.04 × 14,976.48
  4. Step 4: Simplify right side
    48,233.76x = 1,083,593,856.50
  5. Step 5: Solve for x
    x = 1,083,593,856.50/48,233.76
  6. Step 6: Final answer
    x = 22,465.47

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1.5x scale

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.