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Finding the Fourth Proportional to 42,885.98, 59,182.00 and 24,023.78

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Solution

The fourth proportional to 42,885.98, 59,182.00 and 24,023.78 is: 33,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,885.98 : 59,182.00 = 24,023.78 : x
  2. Step 2: Convert to fraction form
    42,885.98/59,182.00 = 24,023.78/x
  3. Step 3: Cross multiply
    42,885.98x = 59,182.00 × 24,023.78
  4. Step 4: Simplify right side
    42,885.98x = 1,421,774,991.99
  5. Step 5: Solve for x
    x = 1,421,774,991.99/42,885.98
  6. Step 6: Final answer
    x = 33,152.45

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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.