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Finding the Fourth Proportional to 78,157.40, 107,857.06 and 42,348.38

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Solution

The fourth proportional to 78,157.40, 107,857.06 and 42,348.38 is: 58,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.40 : 107,857.06 = 42,348.38 : x
  2. Step 2: Convert to fraction form
    78,157.40/107,857.06 = 42,348.38/x
  3. Step 3: Cross multiply
    78,157.40x = 107,857.06 × 42,348.38
  4. Step 4: Simplify right side
    78,157.40x = 4,567,571,117.41
  5. Step 5: Solve for x
    x = 4,567,571,117.41/78,157.40
  6. Step 6: Final answer
    x = 58,440.68

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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.