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Finding the Fourth Proportional to 114,004.86, 170,915.01 and 47,494.95

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Solution

The fourth proportional to 114,004.86, 170,915.01 and 47,494.95 is: 71,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,004.86 : 170,915.01 = 47,494.95 : x
  2. Step 2: Convert to fraction form
    114,004.86/170,915.01 = 47,494.95/x
  3. Step 3: Cross multiply
    114,004.86x = 170,915.01 × 47,494.95
  4. Step 4: Simplify right side
    114,004.86x = 8,117,599,854.20
  5. Step 5: Solve for x
    x = 8,117,599,854.20/114,004.86
  6. Step 6: Final answer
    x = 71,203.98

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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.