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Finding the Fourth Proportional to 47,576.32, 65,655.88 and 26,356

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Solution

The fourth proportional to 47,576.32, 65,655.88 and 26,356 is: 36,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576.32 : 65,655.88 = 26,356 : x
  2. Step 2: Convert to fraction form
    47,576.32/65,655.88 = 26,356/x
  3. Step 3: Cross multiply
    47,576.32x = 65,655.88 × 26,356
  4. Step 4: Simplify right side
    47,576.32x = 1,730,426,373.28
  5. Step 5: Solve for x
    x = 1,730,426,373.28/47,576.32
  6. Step 6: Final answer
    x = 36,371.59

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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.