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Finding the Fourth Proportional to 70,985.77, 106,406.75 and 46,041.66

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Solution

The fourth proportional to 70,985.77, 106,406.75 and 46,041.66 is: 69,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,985.77 : 106,406.75 = 46,041.66 : x
  2. Step 2: Convert to fraction form
    70,985.77/106,406.75 = 46,041.66/x
  3. Step 3: Cross multiply
    70,985.77x = 106,406.75 × 46,041.66
  4. Step 4: Simplify right side
    70,985.77x = 4,899,143,520.31
  5. Step 5: Solve for x
    x = 4,899,143,520.31/70,985.77
  6. Step 6: Final answer
    x = 69,015.86

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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.