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Finding the Fourth Proportional to 195,281, 292,921.56 and 47,537

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Solution

The fourth proportional to 195,281, 292,921.56 and 47,537 is: 71,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,281 : 292,921.56 = 47,537 : x
  2. Step 2: Convert to fraction form
    195,281/292,921.56 = 47,537/x
  3. Step 3: Cross multiply
    195,281x = 292,921.56 × 47,537
  4. Step 4: Simplify right side
    195,281x = 13,924,612,197.72
  5. Step 5: Solve for x
    x = 13,924,612,197.72/195,281
  6. Step 6: Final answer
    x = 71,305.51

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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.