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Finding the Fourth Proportional to 78,153.84, 107,852.34 and 45,882.14

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Solution

The fourth proportional to 78,153.84, 107,852.34 and 45,882.14 is: 63,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,153.84 : 107,852.34 = 45,882.14 : x
  2. Step 2: Convert to fraction form
    78,153.84/107,852.34 = 45,882.14/x
  3. Step 3: Cross multiply
    78,153.84x = 107,852.34 × 45,882.14
  4. Step 4: Simplify right side
    78,153.84x = 4,948,496,163.21
  5. Step 5: Solve for x
    x = 4,948,496,163.21/78,153.84
  6. Step 6: Final answer
    x = 63,317.38

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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.