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Finding the Fourth Proportional to 70,698.85, 106,042.76 and 41,097.81

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Solution

The fourth proportional to 70,698.85, 106,042.76 and 41,097.81 is: 61,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698.85 : 106,042.76 = 41,097.81 : x
  2. Step 2: Convert to fraction form
    70,698.85/106,042.76 = 41,097.81/x
  3. Step 3: Cross multiply
    70,698.85x = 106,042.76 × 41,097.81
  4. Step 4: Simplify right side
    70,698.85x = 4,358,124,774.89
  5. Step 5: Solve for x
    x = 4,358,124,774.89/70,698.85
  6. Step 6: Final answer
    x = 61,643.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.