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Finding the Fourth Proportional to 32,126.94, 48,178.32 and 11,061

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Solution

The fourth proportional to 32,126.94, 48,178.32 and 11,061 is: 16,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126.94 : 48,178.32 = 11,061 : x
  2. Step 2: Convert to fraction form
    32,126.94/48,178.32 = 11,061/x
  3. Step 3: Cross multiply
    32,126.94x = 48,178.32 × 11,061
  4. Step 4: Simplify right side
    32,126.94x = 532,900,397.52
  5. Step 5: Solve for x
    x = 532,900,397.52/32,126.94
  6. Step 6: Final answer
    x = 16,587.34

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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.