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Finding the Fourth Proportional to 47,502, 65,547.08 and 26,278.38

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Solution

The fourth proportional to 47,502, 65,547.08 and 26,278.38 is: 36,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502 : 65,547.08 = 26,278.38 : x
  2. Step 2: Convert to fraction form
    47,502/65,547.08 = 26,278.38/x
  3. Step 3: Cross multiply
    47,502x = 65,547.08 × 26,278.38
  4. Step 4: Simplify right side
    47,502x = 1,722,471,076.13
  5. Step 5: Solve for x
    x = 1,722,471,076.13/47,502
  6. Step 6: Final answer
    x = 36,261.02

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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.