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Finding the Fourth Proportional to 66,033, 98,937.69 and 47,217.51

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Solution

The fourth proportional to 66,033, 98,937.69 and 47,217.51 is: 70,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,033 : 98,937.69 = 47,217.51 : x
  2. Step 2: Convert to fraction form
    66,033/98,937.69 = 47,217.51/x
  3. Step 3: Cross multiply
    66,033x = 98,937.69 × 47,217.51
  4. Step 4: Simplify right side
    66,033x = 4,671,591,366.95
  5. Step 5: Solve for x
    x = 4,671,591,366.95/66,033
  6. Step 6: Final answer
    x = 70,746.31

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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.