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Finding the Fourth Proportional to 46,648.56, 64,384 and 32,347.20

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Solution

The fourth proportional to 46,648.56, 64,384 and 32,347.20 is: 44,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,648.56 : 64,384 = 32,347.20 : x
  2. Step 2: Convert to fraction form
    46,648.56/64,384 = 32,347.20/x
  3. Step 3: Cross multiply
    46,648.56x = 64,384 × 32,347.20
  4. Step 4: Simplify right side
    46,648.56x = 2,082,642,124.80
  5. Step 5: Solve for x
    x = 2,082,642,124.80/46,648.56
  6. Step 6: Final answer
    x = 44,645.37

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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.