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Finding the Fourth Proportional to 38,178.69, 52,737.06 and 31,826.04

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Solution

The fourth proportional to 38,178.69, 52,737.06 and 31,826.04 is: 43,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178.69 : 52,737.06 = 31,826.04 : x
  2. Step 2: Convert to fraction form
    38,178.69/52,737.06 = 31,826.04/x
  3. Step 3: Cross multiply
    38,178.69x = 52,737.06 × 31,826.04
  4. Step 4: Simplify right side
    38,178.69x = 1,678,411,781.04
  5. Step 5: Solve for x
    x = 1,678,411,781.04/38,178.69
  6. Step 6: Final answer
    x = 43,962.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.