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Finding the Fourth Proportional to 70,149.42, 105,190.02 and 23,386.50

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Solution

The fourth proportional to 70,149.42, 105,190.02 and 23,386.50 is: 35,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,149.42 : 105,190.02 = 23,386.50 : x
  2. Step 2: Convert to fraction form
    70,149.42/105,190.02 = 23,386.50/x
  3. Step 3: Cross multiply
    70,149.42x = 105,190.02 × 23,386.50
  4. Step 4: Simplify right side
    70,149.42x = 2,460,026,402.73
  5. Step 5: Solve for x
    x = 2,460,026,402.73/70,149.42
  6. Step 6: Final answer
    x = 35,068.38

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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.