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Finding the Fourth Proportional to 82,695.99, 114,128.94 and 48,715.17

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Solution

The fourth proportional to 82,695.99, 114,128.94 and 48,715.17 is: 67,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,695.99 : 114,128.94 = 48,715.17 : x
  2. Step 2: Convert to fraction form
    82,695.99/114,128.94 = 48,715.17/x
  3. Step 3: Cross multiply
    82,695.99x = 114,128.94 × 48,715.17
  4. Step 4: Simplify right side
    82,695.99x = 5,559,810,714.02
  5. Step 5: Solve for x
    x = 5,559,810,714.02/82,695.99
  6. Step 6: Final answer
    x = 67,231.93

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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.