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Finding the Fourth Proportional to 82,894.13, 114,411.54 and 48,889.93

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Solution

The fourth proportional to 82,894.13, 114,411.54 and 48,889.93 is: 67,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,894.13 : 114,411.54 = 48,889.93 : x
  2. Step 2: Convert to fraction form
    82,894.13/114,411.54 = 48,889.93/x
  3. Step 3: Cross multiply
    82,894.13x = 114,411.54 × 48,889.93
  4. Step 4: Simplify right side
    82,894.13x = 5,593,572,018.62
  5. Step 5: Solve for x
    x = 5,593,572,018.62/82,894.13
  6. Step 6: Final answer
    x = 67,478.50

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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.