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Finding the Fourth Proportional to 32,017.74, 48,033.74 and 9,833.35

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Solution

The fourth proportional to 32,017.74, 48,033.74 and 9,833.35 is: 14,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.74 : 48,033.74 = 9,833.35 : x
  2. Step 2: Convert to fraction form
    32,017.74/48,033.74 = 9,833.35/x
  3. Step 3: Cross multiply
    32,017.74x = 48,033.74 × 9,833.35
  4. Step 4: Simplify right side
    32,017.74x = 472,332,601.81
  5. Step 5: Solve for x
    x = 472,332,601.81/32,017.74
  6. Step 6: Final answer
    x = 14,752.22

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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.