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Finding the Fourth Proportional to 47,292.84, 65,267.46 and 27,153

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Solution

The fourth proportional to 47,292.84, 65,267.46 and 27,153 is: 37,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,292.84 : 65,267.46 = 27,153 : x
  2. Step 2: Convert to fraction form
    47,292.84/65,267.46 = 27,153/x
  3. Step 3: Cross multiply
    47,292.84x = 65,267.46 × 27,153
  4. Step 4: Simplify right side
    47,292.84x = 1,772,207,341.38
  5. Step 5: Solve for x
    x = 1,772,207,341.38/47,292.84
  6. Step 6: Final answer
    x = 37,473.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.