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Finding the Fourth Proportional to 84,383.70, 116,444.70 and 46,655.52

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Solution

The fourth proportional to 84,383.70, 116,444.70 and 46,655.52 is: 64,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,383.70 : 116,444.70 = 46,655.52 : x
  2. Step 2: Convert to fraction form
    84,383.70/116,444.70 = 46,655.52/x
  3. Step 3: Cross multiply
    84,383.70x = 116,444.70 × 46,655.52
  4. Step 4: Simplify right side
    84,383.70x = 5,432,788,029.74
  5. Step 5: Solve for x
    x = 5,432,788,029.74/84,383.70
  6. Step 6: Final answer
    x = 64,381.96

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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.