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Finding the Fourth Proportional to 42,342.99, 58,430.14 and 23,219.70

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Solution

The fourth proportional to 42,342.99, 58,430.14 and 23,219.70 is: 32,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342.99 : 58,430.14 = 23,219.70 : x
  2. Step 2: Convert to fraction form
    42,342.99/58,430.14 = 23,219.70/x
  3. Step 3: Cross multiply
    42,342.99x = 58,430.14 × 23,219.70
  4. Step 4: Simplify right side
    42,342.99x = 1,356,730,175.21
  5. Step 5: Solve for x
    x = 1,356,730,175.21/42,342.99
  6. Step 6: Final answer
    x = 32,041.44

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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.