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Finding the Fourth Proportional to 86,894.84, 130,352.52 and 27,709.76

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Solution

The fourth proportional to 86,894.84, 130,352.52 and 27,709.76 is: 41,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894.84 : 130,352.52 = 27,709.76 : x
  2. Step 2: Convert to fraction form
    86,894.84/130,352.52 = 27,709.76/x
  3. Step 3: Cross multiply
    86,894.84x = 130,352.52 × 27,709.76
  4. Step 4: Simplify right side
    86,894.84x = 3,612,037,044.60
  5. Step 5: Solve for x
    x = 3,612,037,044.60/86,894.84
  6. Step 6: Final answer
    x = 41,567.91

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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.