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Finding the Fourth Proportional to 70,339.50, 105,509.25 and 21,091.50

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Solution

The fourth proportional to 70,339.50, 105,509.25 and 21,091.50 is: 31,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,339.50 : 105,509.25 = 21,091.50 : x
  2. Step 2: Convert to fraction form
    70,339.50/105,509.25 = 21,091.50/x
  3. Step 3: Cross multiply
    70,339.50x = 105,509.25 × 21,091.50
  4. Step 4: Simplify right side
    70,339.50x = 2,225,348,346.38
  5. Step 5: Solve for x
    x = 2,225,348,346.38/70,339.50
  6. Step 6: Final answer
    x = 31,637.25

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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.