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Finding the Fourth Proportional to 64,838.19, 97,201.82 and 24,885.84

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Solution

The fourth proportional to 64,838.19, 97,201.82 and 24,885.84 is: 37,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,838.19 : 97,201.82 = 24,885.84 : x
  2. Step 2: Convert to fraction form
    64,838.19/97,201.82 = 24,885.84/x
  3. Step 3: Cross multiply
    64,838.19x = 97,201.82 × 24,885.84
  4. Step 4: Simplify right side
    64,838.19x = 2,418,948,815.80
  5. Step 5: Solve for x
    x = 2,418,948,815.80/64,838.19
  6. Step 6: Final answer
    x = 37,307.47

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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.