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Finding the Fourth Proportional to 32,501.92, 48,726 and 14,956.96

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Solution

The fourth proportional to 32,501.92, 48,726 and 14,956.96 is: 22,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.92 : 48,726 = 14,956.96 : x
  2. Step 2: Convert to fraction form
    32,501.92/48,726 = 14,956.96/x
  3. Step 3: Cross multiply
    32,501.92x = 48,726 × 14,956.96
  4. Step 4: Simplify right side
    32,501.92x = 728,792,832.96
  5. Step 5: Solve for x
    x = 728,792,832.96/32,501.92
  6. Step 6: Final answer
    x = 22,423.07

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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.