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Finding the Fourth Proportional to 66,641.52, 99,978.69 and 46,958.52

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Solution

The fourth proportional to 66,641.52, 99,978.69 and 46,958.52 is: 70,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,641.52 : 99,978.69 = 46,958.52 : x
  2. Step 2: Convert to fraction form
    66,641.52/99,978.69 = 46,958.52/x
  3. Step 3: Cross multiply
    66,641.52x = 99,978.69 × 46,958.52
  4. Step 4: Simplify right side
    66,641.52x = 4,694,851,313.94
  5. Step 5: Solve for x
    x = 4,694,851,313.94/66,641.52
  6. Step 6: Final answer
    x = 70,449.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.