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Finding the Fourth Proportional to 47,859.84, 72,148.32 and 44,648.64

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Solution

The fourth proportional to 47,859.84, 72,148.32 and 44,648.64 is: 67,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,859.84 : 72,148.32 = 44,648.64 : x
  2. Step 2: Convert to fraction form
    47,859.84/72,148.32 = 44,648.64/x
  3. Step 3: Cross multiply
    47,859.84x = 72,148.32 × 44,648.64
  4. Step 4: Simplify right side
    47,859.84x = 3,221,324,366.28
  5. Step 5: Solve for x
    x = 3,221,324,366.28/47,859.84
  6. Step 6: Final answer
    x = 67,307.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.