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Finding the Fourth Proportional to 46,564.68, 64,255.50 and 32,448

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Solution

The fourth proportional to 46,564.68, 64,255.50 and 32,448 is: 44,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,564.68 : 64,255.50 = 32,448 : x
  2. Step 2: Convert to fraction form
    46,564.68/64,255.50 = 32,448/x
  3. Step 3: Cross multiply
    46,564.68x = 64,255.50 × 32,448
  4. Step 4: Simplify right side
    46,564.68x = 2,084,962,464
  5. Step 5: Solve for x
    x = 2,084,962,464/46,564.68
  6. Step 6: Final answer
    x = 44,775.62

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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.