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Finding the Fourth Proportional to 42,051.42, 58,031.64 and 23,187.42

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Solution

The fourth proportional to 42,051.42, 58,031.64 and 23,187.42 is: 31,999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,051.42 : 58,031.64 = 23,187.42 : x
  2. Step 2: Convert to fraction form
    42,051.42/58,031.64 = 23,187.42/x
  3. Step 3: Cross multiply
    42,051.42x = 58,031.64 × 23,187.42
  4. Step 4: Simplify right side
    42,051.42x = 1,345,604,009.97
  5. Step 5: Solve for x
    x = 1,345,604,009.97/42,051.42
  6. Step 6: Final answer
    x = 31,999.01

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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.