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Finding the Fourth Proportional to 46,500.68, 64,176.48 and 27,637.88

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Solution

The fourth proportional to 46,500.68, 64,176.48 and 27,637.88 is: 38,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,500.68 : 64,176.48 = 27,637.88 : x
  2. Step 2: Convert to fraction form
    46,500.68/64,176.48 = 27,637.88/x
  3. Step 3: Cross multiply
    46,500.68x = 64,176.48 × 27,637.88
  4. Step 4: Simplify right side
    46,500.68x = 1,773,701,853.06
  5. Step 5: Solve for x
    x = 1,773,701,853.06/46,500.68
  6. Step 6: Final answer
    x = 38,143.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.