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Finding the Fourth Proportional to 62,133.10, 85,746.11 and 35,278.11

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Solution

The fourth proportional to 62,133.10, 85,746.11 and 35,278.11 is: 48,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,133.10 : 85,746.11 = 35,278.11 : x
  2. Step 2: Convert to fraction form
    62,133.10/85,746.11 = 35,278.11/x
  3. Step 3: Cross multiply
    62,133.10x = 85,746.11 × 35,278.11
  4. Step 4: Simplify right side
    62,133.10x = 3,024,960,915.02
  5. Step 5: Solve for x
    x = 3,024,960,915.02/62,133.10
  6. Step 6: Final answer
    x = 48,685.17

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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.