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Finding the Fourth Proportional to 84,402.48, 116,486.46 and 48,594

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Solution

The fourth proportional to 84,402.48, 116,486.46 and 48,594 is: 67,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,402.48 : 116,486.46 = 48,594 : x
  2. Step 2: Convert to fraction form
    84,402.48/116,486.46 = 48,594/x
  3. Step 3: Cross multiply
    84,402.48x = 116,486.46 × 48,594
  4. Step 4: Simplify right side
    84,402.48x = 5,660,543,037.24
  5. Step 5: Solve for x
    x = 5,660,543,037.24/84,402.48
  6. Step 6: Final answer
    x = 67,066.07

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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.