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Finding the Fourth Proportional to 52,508.66, 78,658.09 and 35,827.31

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Solution

The fourth proportional to 52,508.66, 78,658.09 and 35,827.31 is: 53,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.66 : 78,658.09 = 35,827.31 : x
  2. Step 2: Convert to fraction form
    52,508.66/78,658.09 = 35,827.31/x
  3. Step 3: Cross multiply
    52,508.66x = 78,658.09 × 35,827.31
  4. Step 4: Simplify right side
    52,508.66x = 2,818,107,881.51
  5. Step 5: Solve for x
    x = 2,818,107,881.51/52,508.66
  6. Step 6: Final answer
    x = 53,669.40

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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.