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Finding the Fourth Proportional to 42,218, 58,266.36 and 24,313.76

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Solution

The fourth proportional to 42,218, 58,266.36 and 24,313.76 is: 33,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,218 : 58,266.36 = 24,313.76 : x
  2. Step 2: Convert to fraction form
    42,218/58,266.36 = 24,313.76/x
  3. Step 3: Cross multiply
    42,218x = 58,266.36 × 24,313.76
  4. Step 4: Simplify right side
    42,218x = 1,416,674,293.11
  5. Step 5: Solve for x
    x = 1,416,674,293.11/42,218
  6. Step 6: Final answer
    x = 33,556.17

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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.