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Finding the Fourth Proportional to 47,376, 65,378.88 and 27,504

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Solution

The fourth proportional to 47,376, 65,378.88 and 27,504 is: 37,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,376 : 65,378.88 = 27,504 : x
  2. Step 2: Convert to fraction form
    47,376/65,378.88 = 27,504/x
  3. Step 3: Cross multiply
    47,376x = 65,378.88 × 27,504
  4. Step 4: Simplify right side
    47,376x = 1,798,180,715.52
  5. Step 5: Solve for x
    x = 1,798,180,715.52/47,376
  6. Step 6: Final answer
    x = 37,955.52

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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.