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Finding the Fourth Proportional to 70,506.23, 105,787.04 and 31,035.67

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Solution

The fourth proportional to 70,506.23, 105,787.04 and 31,035.67 is: 46,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.23 : 105,787.04 = 31,035.67 : x
  2. Step 2: Convert to fraction form
    70,506.23/105,787.04 = 31,035.67/x
  3. Step 3: Cross multiply
    70,506.23x = 105,787.04 × 31,035.67
  4. Step 4: Simplify right side
    70,506.23x = 3,283,171,663.72
  5. Step 5: Solve for x
    x = 3,283,171,663.72/70,506.23
  6. Step 6: Final answer
    x = 46,565.70

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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.