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Finding the Fourth Proportional to 70,286.40, 105,312.96 and 49,466.16

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Solution

The fourth proportional to 70,286.40, 105,312.96 and 49,466.16 is: 74,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,286.40 : 105,312.96 = 49,466.16 : x
  2. Step 2: Convert to fraction form
    70,286.40/105,312.96 = 49,466.16/x
  3. Step 3: Cross multiply
    70,286.40x = 105,312.96 × 49,466.16
  4. Step 4: Simplify right side
    70,286.40x = 5,209,427,729.43
  5. Step 5: Solve for x
    x = 5,209,427,729.43/70,286.40
  6. Step 6: Final answer
    x = 74,117.15

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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.