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Finding the Fourth Proportional to 32,064.42, 48,098.71 and 12,342.98

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Solution

The fourth proportional to 32,064.42, 48,098.71 and 12,342.98 is: 18,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.42 : 48,098.71 = 12,342.98 : x
  2. Step 2: Convert to fraction form
    32,064.42/48,098.71 = 12,342.98/x
  3. Step 3: Cross multiply
    32,064.42x = 48,098.71 × 12,342.98
  4. Step 4: Simplify right side
    32,064.42x = 593,681,551.23
  5. Step 5: Solve for x
    x = 593,681,551.23/32,064.42
  6. Step 6: Final answer
    x = 18,515.27

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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.