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Finding the Fourth Proportional to 32,697.42, 49,054.32 and 9,323.76

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Solution

The fourth proportional to 32,697.42, 49,054.32 and 9,323.76 is: 13,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.42 : 49,054.32 = 9,323.76 : x
  2. Step 2: Convert to fraction form
    32,697.42/49,054.32 = 9,323.76/x
  3. Step 3: Cross multiply
    32,697.42x = 49,054.32 × 9,323.76
  4. Step 4: Simplify right side
    32,697.42x = 457,370,706.64
  5. Step 5: Solve for x
    x = 457,370,706.64/32,697.42
  6. Step 6: Final answer
    x = 13,987.98

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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.