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Finding the Fourth Proportional to 195,079, 292,618.64 and 47,335

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Solution

The fourth proportional to 195,079, 292,618.64 and 47,335 is: 71,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,079 : 292,618.64 = 47,335 : x
  2. Step 2: Convert to fraction form
    195,079/292,618.64 = 47,335/x
  3. Step 3: Cross multiply
    195,079x = 292,618.64 × 47,335
  4. Step 4: Simplify right side
    195,079x = 13,851,103,324.40
  5. Step 5: Solve for x
    x = 13,851,103,324.40/195,079
  6. Step 6: Final answer
    x = 71,002.53

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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.