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Finding the Fourth Proportional to 92,637.46, 138,975.76 and 35,712.82

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Solution

The fourth proportional to 92,637.46, 138,975.76 and 35,712.82 is: 53,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,637.46 : 138,975.76 = 35,712.82 : x
  2. Step 2: Convert to fraction form
    92,637.46/138,975.76 = 35,712.82/x
  3. Step 3: Cross multiply
    92,637.46x = 138,975.76 × 35,712.82
  4. Step 4: Simplify right side
    92,637.46x = 4,963,216,301.24
  5. Step 5: Solve for x
    x = 4,963,216,301.24/92,637.46
  6. Step 6: Final answer
    x = 53,576.77

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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.