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Finding the Fourth Proportional to 46,532, 69,820.40 and 23,160.48

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Solution

The fourth proportional to 46,532, 69,820.40 and 23,160.48 is: 34,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,532 : 69,820.40 = 23,160.48 : x
  2. Step 2: Convert to fraction form
    46,532/69,820.40 = 23,160.48/x
  3. Step 3: Cross multiply
    46,532x = 69,820.40 × 23,160.48
  4. Step 4: Simplify right side
    46,532x = 1,617,073,977.79
  5. Step 5: Solve for x
    x = 1,617,073,977.79/46,532
  6. Step 6: Final answer
    x = 34,751.87

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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.