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Finding the Fourth Proportional to 64,748.74, 89,346.82 and 47,762.16

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Solution

The fourth proportional to 64,748.74, 89,346.82 and 47,762.16 is: 65,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,748.74 : 89,346.82 = 47,762.16 : x
  2. Step 2: Convert to fraction form
    64,748.74/89,346.82 = 47,762.16/x
  3. Step 3: Cross multiply
    64,748.74x = 89,346.82 × 47,762.16
  4. Step 4: Simplify right side
    64,748.74x = 4,267,397,112.33
  5. Step 5: Solve for x
    x = 4,267,397,112.33/64,748.74
  6. Step 6: Final answer
    x = 65,907.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.