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Finding the Fourth Proportional to 70,784.40, 97,679.64 and 41,712.48

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Solution

The fourth proportional to 70,784.40, 97,679.64 and 41,712.48 is: 57,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.40 : 97,679.64 = 41,712.48 : x
  2. Step 2: Convert to fraction form
    70,784.40/97,679.64 = 41,712.48/x
  3. Step 3: Cross multiply
    70,784.40x = 97,679.64 × 41,712.48
  4. Step 4: Simplify right side
    70,784.40x = 4,074,460,029.91
  5. Step 5: Solve for x
    x = 4,074,460,029.91/70,784.40
  6. Step 6: Final answer
    x = 57,561.55

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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.