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Finding the Fourth Proportional to 64,915.18, 97,371.76 and 33,307

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Solution

The fourth proportional to 64,915.18, 97,371.76 and 33,307 is: 49,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,915.18 : 97,371.76 = 33,307 : x
  2. Step 2: Convert to fraction form
    64,915.18/97,371.76 = 33,307/x
  3. Step 3: Cross multiply
    64,915.18x = 97,371.76 × 33,307
  4. Step 4: Simplify right side
    64,915.18x = 3,243,161,127.05
  5. Step 5: Solve for x
    x = 3,243,161,127.05/64,915.18
  6. Step 6: Final answer
    x = 49,959.98

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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.