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Finding the Fourth Proportional to 70,698.96, 106,042.95 and 41,097.90

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Solution

The fourth proportional to 70,698.96, 106,042.95 and 41,097.90 is: 61,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698.96 : 106,042.95 = 41,097.90 : x
  2. Step 2: Convert to fraction form
    70,698.96/106,042.95 = 41,097.90/x
  3. Step 3: Cross multiply
    70,698.96x = 106,042.95 × 41,097.90
  4. Step 4: Simplify right side
    70,698.96x = 4,358,142,554.81
  5. Step 5: Solve for x
    x = 4,358,142,554.81/70,698.96
  6. Step 6: Final answer
    x = 61,643.66

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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.