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Finding the Fourth Proportional to 30,948.72, 42,710.10 and 16,802.48

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Solution

The fourth proportional to 30,948.72, 42,710.10 and 16,802.48 is: 23,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.72 : 42,710.10 = 16,802.48 : x
  2. Step 2: Convert to fraction form
    30,948.72/42,710.10 = 16,802.48/x
  3. Step 3: Cross multiply
    30,948.72x = 42,710.10 × 16,802.48
  4. Step 4: Simplify right side
    30,948.72x = 717,635,601.05
  5. Step 5: Solve for x
    x = 717,635,601.05/30,948.72
  6. Step 6: Final answer
    x = 23,187.89

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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.