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Finding the Fourth Proportional to 82,915.77, 114,442.25 and 52,695.21

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Solution

The fourth proportional to 82,915.77, 114,442.25 and 52,695.21 is: 72,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.77 : 114,442.25 = 52,695.21 : x
  2. Step 2: Convert to fraction form
    82,915.77/114,442.25 = 52,695.21/x
  3. Step 3: Cross multiply
    82,915.77x = 114,442.25 × 52,695.21
  4. Step 4: Simplify right side
    82,915.77x = 6,030,558,133.15
  5. Step 5: Solve for x
    x = 6,030,558,133.15/82,915.77
  6. Step 6: Final answer
    x = 72,731.14

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1.5x scale

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.