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Finding the Fourth Proportional to 70,486.81, 105,527.14 and 46,818

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Solution

The fourth proportional to 70,486.81, 105,527.14 and 46,818 is: 70,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486.81 : 105,527.14 = 46,818 : x
  2. Step 2: Convert to fraction form
    70,486.81/105,527.14 = 46,818/x
  3. Step 3: Cross multiply
    70,486.81x = 105,527.14 × 46,818
  4. Step 4: Simplify right side
    70,486.81x = 4,940,569,523.48
  5. Step 5: Solve for x
    x = 4,940,569,523.48/70,486.81
  6. Step 6: Final answer
    x = 70,092.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.