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Finding the Fourth Proportional to 42,046.58, 58,023.53 and 22,926.50

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Solution

The fourth proportional to 42,046.58, 58,023.53 and 22,926.50 is: 31,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,046.58 : 58,023.53 = 22,926.50 : x
  2. Step 2: Convert to fraction form
    42,046.58/58,023.53 = 22,926.50/x
  3. Step 3: Cross multiply
    42,046.58x = 58,023.53 × 22,926.50
  4. Step 4: Simplify right side
    42,046.58x = 1,330,276,460.55
  5. Step 5: Solve for x
    x = 1,330,276,460.55/42,046.58
  6. Step 6: Final answer
    x = 31,638.16

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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.