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Finding the Fourth Proportional to 55,823.71, 83,638.06 and 46,523.49

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Solution

The fourth proportional to 55,823.71, 83,638.06 and 46,523.49 is: 69,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,823.71 : 83,638.06 = 46,523.49 : x
  2. Step 2: Convert to fraction form
    55,823.71/83,638.06 = 46,523.49/x
  3. Step 3: Cross multiply
    55,823.71x = 83,638.06 × 46,523.49
  4. Step 4: Simplify right side
    55,823.71x = 3,891,134,215.41
  5. Step 5: Solve for x
    x = 3,891,134,215.41/55,823.71
  6. Step 6: Final answer
    x = 69,703.97

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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.