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Finding the Fourth Proportional to 106,048.15, 159,063.96 and 61,646.58

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Solution

The fourth proportional to 106,048.15, 159,063.96 and 61,646.58 is: 92,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048.15 : 159,063.96 = 61,646.58 : x
  2. Step 2: Convert to fraction form
    106,048.15/159,063.96 = 61,646.58/x
  3. Step 3: Cross multiply
    106,048.15x = 159,063.96 × 61,646.58
  4. Step 4: Simplify right side
    106,048.15x = 9,805,749,224.68
  5. Step 5: Solve for x
    x = 9,805,749,224.68/106,048.15
  6. Step 6: Final answer
    x = 92,465.07

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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.