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Finding the Fourth Proportional to 70,159.42, 96,821.90 and 41,881.51

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Solution

The fourth proportional to 70,159.42, 96,821.90 and 41,881.51 is: 57,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,159.42 : 96,821.90 = 41,881.51 : x
  2. Step 2: Convert to fraction form
    70,159.42/96,821.90 = 41,881.51/x
  3. Step 3: Cross multiply
    70,159.42x = 96,821.90 × 41,881.51
  4. Step 4: Simplify right side
    70,159.42x = 4,055,047,373.07
  5. Step 5: Solve for x
    x = 4,055,047,373.07/70,159.42
  6. Step 6: Final answer
    x = 57,797.62

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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.