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Finding the Fourth Proportional to 34,652.40, 51,978.60 and 29,403.60

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Solution

The fourth proportional to 34,652.40, 51,978.60 and 29,403.60 is: 44,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.40 : 51,978.60 = 29,403.60 : x
  2. Step 2: Convert to fraction form
    34,652.40/51,978.60 = 29,403.60/x
  3. Step 3: Cross multiply
    34,652.40x = 51,978.60 × 29,403.60
  4. Step 4: Simplify right side
    34,652.40x = 1,528,357,962.96
  5. Step 5: Solve for x
    x = 1,528,357,962.96/34,652.40
  6. Step 6: Final answer
    x = 44,105.40

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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.