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Finding the Fourth Proportional to 86,695.84, 130,048.25 and 27,536.14

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Solution

The fourth proportional to 86,695.84, 130,048.25 and 27,536.14 is: 41,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,695.84 : 130,048.25 = 27,536.14 : x
  2. Step 2: Convert to fraction form
    86,695.84/130,048.25 = 27,536.14/x
  3. Step 3: Cross multiply
    86,695.84x = 130,048.25 × 27,536.14
  4. Step 4: Simplify right side
    86,695.84x = 3,581,026,818.76
  5. Step 5: Solve for x
    x = 3,581,026,818.76/86,695.84
  6. Step 6: Final answer
    x = 41,305.64

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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.