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Finding the Fourth Proportional to 68,013.68, 93,857 and 37,798.24

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Solution

The fourth proportional to 68,013.68, 93,857 and 37,798.24 is: 52,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,013.68 : 93,857 = 37,798.24 : x
  2. Step 2: Convert to fraction form
    68,013.68/93,857 = 37,798.24/x
  3. Step 3: Cross multiply
    68,013.68x = 93,857 × 37,798.24
  4. Step 4: Simplify right side
    68,013.68x = 3,547,629,411.68
  5. Step 5: Solve for x
    x = 3,547,629,411.68/68,013.68
  6. Step 6: Final answer
    x = 52,160.53

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1.5x scale

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.