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Finding the Fourth Proportional to 70,159.49, 105,280.74 and 25,817.37

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Solution

The fourth proportional to 70,159.49, 105,280.74 and 25,817.37 is: 38,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,159.49 : 105,280.74 = 25,817.37 : x
  2. Step 2: Convert to fraction form
    70,159.49/105,280.74 = 25,817.37/x
  3. Step 3: Cross multiply
    70,159.49x = 105,280.74 × 25,817.37
  4. Step 4: Simplify right side
    70,159.49x = 2,718,071,162.96
  5. Step 5: Solve for x
    x = 2,718,071,162.96/70,159.49
  6. Step 6: Final answer
    x = 38,741.32

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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.