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Finding the Fourth Proportional to 42,887.28, 59,184.36 and 24,024

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Solution

The fourth proportional to 42,887.28, 59,184.36 and 24,024 is: 33,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,887.28 : 59,184.36 = 24,024 : x
  2. Step 2: Convert to fraction form
    42,887.28/59,184.36 = 24,024/x
  3. Step 3: Cross multiply
    42,887.28x = 59,184.36 × 24,024
  4. Step 4: Simplify right side
    42,887.28x = 1,421,845,064.64
  5. Step 5: Solve for x
    x = 1,421,845,064.64/42,887.28
  6. Step 6: Final answer
    x = 33,153.07

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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.