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Finding the Fourth Proportional to 46,814.29, 70,211.16 and 13,527.11

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Solution

The fourth proportional to 46,814.29, 70,211.16 and 13,527.11 is: 20,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,814.29 : 70,211.16 = 13,527.11 : x
  2. Step 2: Convert to fraction form
    46,814.29/70,211.16 = 13,527.11/x
  3. Step 3: Cross multiply
    46,814.29x = 70,211.16 × 13,527.11
  4. Step 4: Simplify right side
    46,814.29x = 949,754,084.55
  5. Step 5: Solve for x
    x = 949,754,084.55/46,814.29
  6. Step 6: Final answer
    x = 20,287.70

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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.