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Finding the Fourth Proportional to 32,931.80, 49,400.96 and 10,744.28

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Solution

The fourth proportional to 32,931.80, 49,400.96 and 10,744.28 is: 16,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.80 : 49,400.96 = 10,744.28 : x
  2. Step 2: Convert to fraction form
    32,931.80/49,400.96 = 10,744.28/x
  3. Step 3: Cross multiply
    32,931.80x = 49,400.96 × 10,744.28
  4. Step 4: Simplify right side
    32,931.80x = 530,777,746.51
  5. Step 5: Solve for x
    x = 530,777,746.51/32,931.80
  6. Step 6: Final answer
    x = 16,117.48

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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.