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Finding the Fourth Proportional to 42,197.66, 63,272.79 and 14,102.91

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Solution

The fourth proportional to 42,197.66, 63,272.79 and 14,102.91 is: 21,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.66 : 63,272.79 = 14,102.91 : x
  2. Step 2: Convert to fraction form
    42,197.66/63,272.79 = 14,102.91/x
  3. Step 3: Cross multiply
    42,197.66x = 63,272.79 × 14,102.91
  4. Step 4: Simplify right side
    42,197.66x = 892,330,462.82
  5. Step 5: Solve for x
    x = 892,330,462.82/42,197.66
  6. Step 6: Final answer
    x = 21,146.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.