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Finding the Fourth Proportional to 66,104.60, 99,157.10 and 46,471

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Solution

The fourth proportional to 66,104.60, 99,157.10 and 46,471 is: 69,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,104.60 : 99,157.10 = 46,471 : x
  2. Step 2: Convert to fraction form
    66,104.60/99,157.10 = 46,471/x
  3. Step 3: Cross multiply
    66,104.60x = 99,157.10 × 46,471
  4. Step 4: Simplify right side
    66,104.60x = 4,607,929,594.10
  5. Step 5: Solve for x
    x = 4,607,929,594.10/66,104.60
  6. Step 6: Final answer
    x = 69,706.64

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