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Finding the Fourth Proportional to 64,750.69, 97,050.25 and 24,743.48

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Solution

The fourth proportional to 64,750.69, 97,050.25 and 24,743.48 is: 37,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,750.69 : 97,050.25 = 24,743.48 : x
  2. Step 2: Convert to fraction form
    64,750.69/97,050.25 = 24,743.48/x
  3. Step 3: Cross multiply
    64,750.69x = 97,050.25 × 24,743.48
  4. Step 4: Simplify right side
    64,750.69x = 2,401,360,465.55
  5. Step 5: Solve for x
    x = 2,401,360,465.55/64,750.69
  6. Step 6: Final answer
    x = 37,086.25

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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.