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Finding the Fourth Proportional to 78,076.47, 107,745.51 and 42,266.45

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Solution

The fourth proportional to 78,076.47, 107,745.51 and 42,266.45 is: 58,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,076.47 : 107,745.51 = 42,266.45 : x
  2. Step 2: Convert to fraction form
    78,076.47/107,745.51 = 42,266.45/x
  3. Step 3: Cross multiply
    78,076.47x = 107,745.51 × 42,266.45
  4. Step 4: Simplify right side
    78,076.47x = 4,554,019,672.41
  5. Step 5: Solve for x
    x = 4,554,019,672.41/78,076.47
  6. Step 6: Final answer
    x = 58,327.68

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1.5x scale

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.