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Finding the Fourth Proportional to 31,999.59, 48,000.08 and 9,812.48

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Solution

The fourth proportional to 31,999.59, 48,000.08 and 9,812.48 is: 14,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.59 : 48,000.08 = 9,812.48 : x
  2. Step 2: Convert to fraction form
    31,999.59/48,000.08 = 9,812.48/x
  3. Step 3: Cross multiply
    31,999.59x = 48,000.08 × 9,812.48
  4. Step 4: Simplify right side
    31,999.59x = 470,999,609.53
  5. Step 5: Solve for x
    x = 470,999,609.53/31,999.59
  6. Step 6: Final answer
    x = 14,718.93

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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.