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Finding the Fourth Proportional to 64,242.60, 96,308.52 and 24,827.37

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Solution

The fourth proportional to 64,242.60, 96,308.52 and 24,827.37 is: 37,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,242.60 : 96,308.52 = 24,827.37 : x
  2. Step 2: Convert to fraction form
    64,242.60/96,308.52 = 24,827.37/x
  3. Step 3: Cross multiply
    64,242.60x = 96,308.52 × 24,827.37
  4. Step 4: Simplify right side
    64,242.60x = 2,391,087,260.19
  5. Step 5: Solve for x
    x = 2,391,087,260.19/64,242.60
  6. Step 6: Final answer
    x = 37,219.65

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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.