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Finding the Fourth Proportional to 70,537.48, 105,805.72 and 17,946.50

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Solution

The fourth proportional to 70,537.48, 105,805.72 and 17,946.50 is: 26,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.48 : 105,805.72 = 17,946.50 : x
  2. Step 2: Convert to fraction form
    70,537.48/105,805.72 = 17,946.50/x
  3. Step 3: Cross multiply
    70,537.48x = 105,805.72 × 17,946.50
  4. Step 4: Simplify right side
    70,537.48x = 1,898,842,353.98
  5. Step 5: Solve for x
    x = 1,898,842,353.98/70,537.48
  6. Step 6: Final answer
    x = 26,919.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.