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Finding the Fourth Proportional to 107,056.80, 160,642.80 and 44,733.60

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Solution

The fourth proportional to 107,056.80, 160,642.80 and 44,733.60 is: 67,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,056.80 : 160,642.80 = 44,733.60 : x
  2. Step 2: Convert to fraction form
    107,056.80/160,642.80 = 44,733.60/x
  3. Step 3: Cross multiply
    107,056.80x = 160,642.80 × 44,733.60
  4. Step 4: Simplify right side
    107,056.80x = 7,186,130,758.08
  5. Step 5: Solve for x
    x = 7,186,130,758.08/107,056.80
  6. Step 6: Final answer
    x = 67,124.47

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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.