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Finding the Fourth Proportional to 60,014.25, 90,075.96 and 31,957.83

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Solution

The fourth proportional to 60,014.25, 90,075.96 and 31,957.83 is: 47,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,014.25 : 90,075.96 = 31,957.83 : x
  2. Step 2: Convert to fraction form
    60,014.25/90,075.96 = 31,957.83/x
  3. Step 3: Cross multiply
    60,014.25x = 90,075.96 × 31,957.83
  4. Step 4: Simplify right side
    60,014.25x = 2,878,632,216.77
  5. Step 5: Solve for x
    x = 2,878,632,216.77/60,014.25
  6. Step 6: Final answer
    x = 47,965.81

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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.