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Finding the Fourth Proportional to 73,064.16, 100,828.80 and 39,530.16

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Solution

The fourth proportional to 73,064.16, 100,828.80 and 39,530.16 is: 54,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,064.16 : 100,828.80 = 39,530.16 : x
  2. Step 2: Convert to fraction form
    73,064.16/100,828.80 = 39,530.16/x
  3. Step 3: Cross multiply
    73,064.16x = 100,828.80 × 39,530.16
  4. Step 4: Simplify right side
    73,064.16x = 3,985,778,596.61
  5. Step 5: Solve for x
    x = 3,985,778,596.61/73,064.16
  6. Step 6: Final answer
    x = 54,551.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.