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Finding the Fourth Proportional to 76,681.58, 115,050.92 and 34,549.02

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Solution

The fourth proportional to 76,681.58, 115,050.92 and 34,549.02 is: 51,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,681.58 : 115,050.92 = 34,549.02 : x
  2. Step 2: Convert to fraction form
    76,681.58/115,050.92 = 34,549.02/x
  3. Step 3: Cross multiply
    76,681.58x = 115,050.92 × 34,549.02
  4. Step 4: Simplify right side
    76,681.58x = 3,974,896,363.35
  5. Step 5: Solve for x
    x = 3,974,896,363.35/76,681.58
  6. Step 6: Final answer
    x = 51,836.39

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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.