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Finding the Fourth Proportional to 64,188.69, 96,242.01 and 30,842.40

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Solution

The fourth proportional to 64,188.69, 96,242.01 and 30,842.40 is: 46,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,188.69 : 96,242.01 = 30,842.40 : x
  2. Step 2: Convert to fraction form
    64,188.69/96,242.01 = 30,842.40/x
  3. Step 3: Cross multiply
    64,188.69x = 96,242.01 × 30,842.40
  4. Step 4: Simplify right side
    64,188.69x = 2,968,334,569.22
  5. Step 5: Solve for x
    x = 2,968,334,569.22/64,188.69
  6. Step 6: Final answer
    x = 46,243.89

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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.