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Finding the Fourth Proportional to 70,492.50, 105,759 and 34,964.69

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Solution

The fourth proportional to 70,492.50, 105,759 and 34,964.69 is: 52,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.50 : 105,759 = 34,964.69 : x
  2. Step 2: Convert to fraction form
    70,492.50/105,759 = 34,964.69/x
  3. Step 3: Cross multiply
    70,492.50x = 105,759 × 34,964.69
  4. Step 4: Simplify right side
    70,492.50x = 3,697,830,120.92
  5. Step 5: Solve for x
    x = 3,697,830,120.92/70,492.50
  6. Step 6: Final answer
    x = 52,457.07

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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.