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Finding the Fourth Proportional to 32,947.68, 49,429.68 and 9,574.32

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Solution

The fourth proportional to 32,947.68, 49,429.68 and 9,574.32 is: 14,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.68 : 49,429.68 = 9,574.32 : x
  2. Step 2: Convert to fraction form
    32,947.68/49,429.68 = 9,574.32/x
  3. Step 3: Cross multiply
    32,947.68x = 49,429.68 × 9,574.32
  4. Step 4: Simplify right side
    32,947.68x = 473,255,573.82
  5. Step 5: Solve for x
    x = 473,255,573.82/32,947.68
  6. Step 6: Final answer
    x = 14,363.85

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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.