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Finding the Fourth Proportional to 70,994.68, 97,923.86 and 42,292.23

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Solution

The fourth proportional to 70,994.68, 97,923.86 and 42,292.23 is: 58,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,994.68 : 97,923.86 = 42,292.23 : x
  2. Step 2: Convert to fraction form
    70,994.68/97,923.86 = 42,292.23/x
  3. Step 3: Cross multiply
    70,994.68x = 97,923.86 × 42,292.23
  4. Step 4: Simplify right side
    70,994.68x = 4,141,418,108.47
  5. Step 5: Solve for x
    x = 4,141,418,108.47/70,994.68
  6. Step 6: Final answer
    x = 58,334.21

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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.