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Finding the Fourth Proportional to 47,277, 70,927.65 and 17,695.26

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Solution

The fourth proportional to 47,277, 70,927.65 and 17,695.26 is: 26,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,277 : 70,927.65 = 17,695.26 : x
  2. Step 2: Convert to fraction form
    47,277/70,927.65 = 17,695.26/x
  3. Step 3: Cross multiply
    47,277x = 70,927.65 × 17,695.26
  4. Step 4: Simplify right side
    47,277x = 1,255,083,207.94
  5. Step 5: Solve for x
    x = 1,255,083,207.94/47,277
  6. Step 6: Final answer
    x = 26,547.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.