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Finding the Fourth Proportional to 78,066, 107,731.02 and 42,256.02

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Solution

The fourth proportional to 78,066, 107,731.02 and 42,256.02 is: 58,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,066 : 107,731.02 = 42,256.02 : x
  2. Step 2: Convert to fraction form
    78,066/107,731.02 = 42,256.02/x
  3. Step 3: Cross multiply
    78,066x = 107,731.02 × 42,256.02
  4. Step 4: Simplify right side
    78,066x = 4,552,284,135.74
  5. Step 5: Solve for x
    x = 4,552,284,135.74/78,066
  6. Step 6: Final answer
    x = 58,313.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.