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Finding the Fourth Proportional to 70,152.96, 96,809.50 and 38,321.98

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Solution

The fourth proportional to 70,152.96, 96,809.50 and 38,321.98 is: 52,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.96 : 96,809.50 = 38,321.98 : x
  2. Step 2: Convert to fraction form
    70,152.96/96,809.50 = 38,321.98/x
  3. Step 3: Cross multiply
    70,152.96x = 96,809.50 × 38,321.98
  4. Step 4: Simplify right side
    70,152.96x = 3,709,931,722.81
  5. Step 5: Solve for x
    x = 3,709,931,722.81/70,152.96
  6. Step 6: Final answer
    x = 52,883.47

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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.