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Finding the Fourth Proportional to 64,851.42, 97,256.07 and 24,868.30

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Solution

The fourth proportional to 64,851.42, 97,256.07 and 24,868.30 is: 37,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,851.42 : 97,256.07 = 24,868.30 : x
  2. Step 2: Convert to fraction form
    64,851.42/97,256.07 = 24,868.30/x
  3. Step 3: Cross multiply
    64,851.42x = 97,256.07 × 24,868.30
  4. Step 4: Simplify right side
    64,851.42x = 2,418,593,125.58
  5. Step 5: Solve for x
    x = 2,418,593,125.58/64,851.42
  6. Step 6: Final answer
    x = 37,294.37

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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.