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Finding the Fourth Proportional to 52,851.64, 72,920.10 and 34,940.11

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Solution

The fourth proportional to 52,851.64, 72,920.10 and 34,940.11 is: 48,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,851.64 : 72,920.10 = 34,940.11 : x
  2. Step 2: Convert to fraction form
    52,851.64/72,920.10 = 34,940.11/x
  3. Step 3: Cross multiply
    52,851.64x = 72,920.10 × 34,940.11
  4. Step 4: Simplify right side
    52,851.64x = 2,547,836,315.21
  5. Step 5: Solve for x
    x = 2,547,836,315.21/52,851.64
  6. Step 6: Final answer
    x = 48,207.33

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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.