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Finding the Fourth Proportional to 84,387, 116,468.64 and 50,853

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Solution

The fourth proportional to 84,387, 116,468.64 and 50,853 is: 70,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,387 : 116,468.64 = 50,853 : x
  2. Step 2: Convert to fraction form
    84,387/116,468.64 = 50,853/x
  3. Step 3: Cross multiply
    84,387x = 116,468.64 × 50,853
  4. Step 4: Simplify right side
    84,387x = 5,922,779,749.92
  5. Step 5: Solve for x
    x = 5,922,779,749.92/84,387
  6. Step 6: Final answer
    x = 70,185.93

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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.