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Finding the Fourth Proportional to 42,048.42, 58,027.50 and 23,184.42

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Solution

The fourth proportional to 42,048.42, 58,027.50 and 23,184.42 is: 31,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048.42 : 58,027.50 = 23,184.42 : x
  2. Step 2: Convert to fraction form
    42,048.42/58,027.50 = 23,184.42/x
  3. Step 3: Cross multiply
    42,048.42x = 58,027.50 × 23,184.42
  4. Step 4: Simplify right side
    42,048.42x = 1,345,333,931.55
  5. Step 5: Solve for x
    x = 1,345,333,931.55/42,048.42
  6. Step 6: Final answer
    x = 31,994.87

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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.