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Finding the Fourth Proportional to 32,033.93, 48,055.49 and 9,849.17

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Solution

The fourth proportional to 32,033.93, 48,055.49 and 9,849.17 is: 14,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.93 : 48,055.49 = 9,849.17 : x
  2. Step 2: Convert to fraction form
    32,033.93/48,055.49 = 9,849.17/x
  3. Step 3: Cross multiply
    32,033.93x = 48,055.49 × 9,849.17
  4. Step 4: Simplify right side
    32,033.93x = 473,306,400.92
  5. Step 5: Solve for x
    x = 473,306,400.92/32,033.93
  6. Step 6: Final answer
    x = 14,775.16

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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.