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Finding the Fourth Proportional to 85,257.48, 117,656.10 and 51,267

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Solution

The fourth proportional to 85,257.48, 117,656.10 and 51,267 is: 70,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257.48 : 117,656.10 = 51,267 : x
  2. Step 2: Convert to fraction form
    85,257.48/117,656.10 = 51,267/x
  3. Step 3: Cross multiply
    85,257.48x = 117,656.10 × 51,267
  4. Step 4: Simplify right side
    85,257.48x = 6,031,875,278.70
  5. Step 5: Solve for x
    x = 6,031,875,278.70/85,257.48
  6. Step 6: Final answer
    x = 70,748.93

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