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Finding the Fourth Proportional to 70,038.10, 105,058.02 and 23,290.96

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Solution

The fourth proportional to 70,038.10, 105,058.02 and 23,290.96 is: 34,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038.10 : 105,058.02 = 23,290.96 : x
  2. Step 2: Convert to fraction form
    70,038.10/105,058.02 = 23,290.96/x
  3. Step 3: Cross multiply
    70,038.10x = 105,058.02 × 23,290.96
  4. Step 4: Simplify right side
    70,038.10x = 2,446,902,141.50
  5. Step 5: Solve for x
    x = 2,446,902,141.50/70,038.10
  6. Step 6: Final answer
    x = 34,936.73

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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.