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Finding the Fourth Proportional to 32,697.12, 49,045.68 and 9,323.64

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Solution

The fourth proportional to 32,697.12, 49,045.68 and 9,323.64 is: 13,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.12 : 49,045.68 = 9,323.64 : x
  2. Step 2: Convert to fraction form
    32,697.12/49,045.68 = 9,323.64/x
  3. Step 3: Cross multiply
    32,697.12x = 49,045.68 × 9,323.64
  4. Step 4: Simplify right side
    32,697.12x = 457,284,263.88
  5. Step 5: Solve for x
    x = 457,284,263.88/32,697.12
  6. Step 6: Final answer
    x = 13,985.46

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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.