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Finding the Fourth Proportional to 46,378.85, 64,002.35 and 25,157.66

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Solution

The fourth proportional to 46,378.85, 64,002.35 and 25,157.66 is: 34,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,378.85 : 64,002.35 = 25,157.66 : x
  2. Step 2: Convert to fraction form
    46,378.85/64,002.35 = 25,157.66/x
  3. Step 3: Cross multiply
    46,378.85x = 64,002.35 × 25,157.66
  4. Step 4: Simplify right side
    46,378.85x = 1,610,149,103.38
  5. Step 5: Solve for x
    x = 1,610,149,103.38/46,378.85
  6. Step 6: Final answer
    x = 34,717.32

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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.