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Finding the Fourth Proportional to 45,409.60, 68,114.40 and 40,801.60

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Solution

The fourth proportional to 45,409.60, 68,114.40 and 40,801.60 is: 61,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,409.60 : 68,114.40 = 40,801.60 : x
  2. Step 2: Convert to fraction form
    45,409.60/68,114.40 = 40,801.60/x
  3. Step 3: Cross multiply
    45,409.60x = 68,114.40 × 40,801.60
  4. Step 4: Simplify right side
    45,409.60x = 2,779,176,503.04
  5. Step 5: Solve for x
    x = 2,779,176,503.04/45,409.60
  6. Step 6: Final answer
    x = 61,202.40

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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.