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Finding the Fourth Proportional to 70,398.37, 105,570.96 and 23,002.57

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Solution

The fourth proportional to 70,398.37, 105,570.96 and 23,002.57 is: 34,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,398.37 : 105,570.96 = 23,002.57 : x
  2. Step 2: Convert to fraction form
    70,398.37/105,570.96 = 23,002.57/x
  3. Step 3: Cross multiply
    70,398.37x = 105,570.96 × 23,002.57
  4. Step 4: Simplify right side
    70,398.37x = 2,428,403,397.37
  5. Step 5: Solve for x
    x = 2,428,403,397.37/70,398.37
  6. Step 6: Final answer
    x = 34,495.17

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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.