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Finding the Fourth Proportional to 32,801.68, 49,178.68 and 13,074.32

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Solution

The fourth proportional to 32,801.68, 49,178.68 and 13,074.32 is: 19,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.68 : 49,178.68 = 13,074.32 : x
  2. Step 2: Convert to fraction form
    32,801.68/49,178.68 = 13,074.32/x
  3. Step 3: Cross multiply
    32,801.68x = 49,178.68 × 13,074.32
  4. Step 4: Simplify right side
    32,801.68x = 642,977,799.50
  5. Step 5: Solve for x
    x = 642,977,799.50/32,801.68
  6. Step 6: Final answer
    x = 19,601.98

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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.