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Finding the Fourth Proportional to 46,561.68, 64,251.36 and 32,445

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Solution

The fourth proportional to 46,561.68, 64,251.36 and 32,445 is: 44,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,561.68 : 64,251.36 = 32,445 : x
  2. Step 2: Convert to fraction form
    46,561.68/64,251.36 = 32,445/x
  3. Step 3: Cross multiply
    46,561.68x = 64,251.36 × 32,445
  4. Step 4: Simplify right side
    46,561.68x = 2,084,635,375.20
  5. Step 5: Solve for x
    x = 2,084,635,375.20/46,561.68
  6. Step 6: Final answer
    x = 44,771.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.