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Finding the Fourth Proportional to 46,466, 64,123.38 and 25,245.26

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Solution

The fourth proportional to 46,466, 64,123.38 and 25,245.26 is: 34,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 64,123.38 = 25,245.26 : x
  2. Step 2: Convert to fraction form
    46,466/64,123.38 = 25,245.26/x
  3. Step 3: Cross multiply
    46,466x = 64,123.38 × 25,245.26
  4. Step 4: Simplify right side
    46,466x = 1,618,811,400.18
  5. Step 5: Solve for x
    x = 1,618,811,400.18/46,466
  6. Step 6: Final answer
    x = 34,838.62

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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.