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Finding the Fourth Proportional to 32,083.76, 48,127.80 and 11,300.24

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Solution

The fourth proportional to 32,083.76, 48,127.80 and 11,300.24 is: 16,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.76 : 48,127.80 = 11,300.24 : x
  2. Step 2: Convert to fraction form
    32,083.76/48,127.80 = 11,300.24/x
  3. Step 3: Cross multiply
    32,083.76x = 48,127.80 × 11,300.24
  4. Step 4: Simplify right side
    32,083.76x = 543,855,690.67
  5. Step 5: Solve for x
    x = 543,855,690.67/32,083.76
  6. Step 6: Final answer
    x = 16,951.12

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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.