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Finding the Fourth Proportional to 42,288.48, 58,355.16 and 23,424

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Solution

The fourth proportional to 42,288.48, 58,355.16 and 23,424 is: 32,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,288.48 : 58,355.16 = 23,424 : x
  2. Step 2: Convert to fraction form
    42,288.48/58,355.16 = 23,424/x
  3. Step 3: Cross multiply
    42,288.48x = 58,355.16 × 23,424
  4. Step 4: Simplify right side
    42,288.48x = 1,366,911,267.84
  5. Step 5: Solve for x
    x = 1,366,911,267.84/42,288.48
  6. Step 6: Final answer
    x = 32,323.49

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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.