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Finding the Fourth Proportional to 86,693.52, 130,044.78 and 27,533.82

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Solution

The fourth proportional to 86,693.52, 130,044.78 and 27,533.82 is: 41,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,693.52 : 130,044.78 = 27,533.82 : x
  2. Step 2: Convert to fraction form
    86,693.52/130,044.78 = 27,533.82/x
  3. Step 3: Cross multiply
    86,693.52x = 130,044.78 × 27,533.82
  4. Step 4: Simplify right side
    86,693.52x = 3,580,629,564.46
  5. Step 5: Solve for x
    x = 3,580,629,564.46/86,693.52
  6. Step 6: Final answer
    x = 41,302.16

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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.