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Finding the Fourth Proportional to 96,302, 132,915.12 and 64,526.32

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Solution

The fourth proportional to 96,302, 132,915.12 and 64,526.32 is: 89,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,302 : 132,915.12 = 64,526.32 : x
  2. Step 2: Convert to fraction form
    96,302/132,915.12 = 64,526.32/x
  3. Step 3: Cross multiply
    96,302x = 132,915.12 × 64,526.32
  4. Step 4: Simplify right side
    96,302x = 8,576,523,565.96
  5. Step 5: Solve for x
    x = 8,576,523,565.96/96,302
  6. Step 6: Final answer
    x = 89,058.62

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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.