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Finding the Fourth Proportional to 70,407.90, 105,577.29 and 34,828.11

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Solution

The fourth proportional to 70,407.90, 105,577.29 and 34,828.11 is: 52,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,407.90 : 105,577.29 = 34,828.11 : x
  2. Step 2: Convert to fraction form
    70,407.90/105,577.29 = 34,828.11/x
  3. Step 3: Cross multiply
    70,407.90x = 105,577.29 × 34,828.11
  4. Step 4: Simplify right side
    70,407.90x = 3,677,057,469.62
  5. Step 5: Solve for x
    x = 3,677,057,469.62/70,407.90
  6. Step 6: Final answer
    x = 52,225.07

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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.