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Finding the Fourth Proportional to 70,477.64, 97,262.22 and 42,177.80

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Solution

The fourth proportional to 70,477.64, 97,262.22 and 42,177.80 is: 58,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,477.64 : 97,262.22 = 42,177.80 : x
  2. Step 2: Convert to fraction form
    70,477.64/97,262.22 = 42,177.80/x
  3. Step 3: Cross multiply
    70,477.64x = 97,262.22 × 42,177.80
  4. Step 4: Simplify right side
    70,477.64x = 4,102,306,462.72
  5. Step 5: Solve for x
    x = 4,102,306,462.72/70,477.64
  6. Step 6: Final answer
    x = 58,207.21

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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.