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Finding the Fourth Proportional to 47,702.34, 65,824.47 and 26,479.32

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Solution

The fourth proportional to 47,702.34, 65,824.47 and 26,479.32 is: 36,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.34 : 65,824.47 = 26,479.32 : x
  2. Step 2: Convert to fraction form
    47,702.34/65,824.47 = 26,479.32/x
  3. Step 3: Cross multiply
    47,702.34x = 65,824.47 × 26,479.32
  4. Step 4: Simplify right side
    47,702.34x = 1,742,987,204.96
  5. Step 5: Solve for x
    x = 1,742,987,204.96/47,702.34
  6. Step 6: Final answer
    x = 36,538.82

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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.