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Finding the Fourth Proportional to 96,682.80, 145,028.12 and 46,055.80

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Solution

The fourth proportional to 96,682.80, 145,028.12 and 46,055.80 is: 69,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,682.80 : 145,028.12 = 46,055.80 : x
  2. Step 2: Convert to fraction form
    96,682.80/145,028.12 = 46,055.80/x
  3. Step 3: Cross multiply
    96,682.80x = 145,028.12 × 46,055.80
  4. Step 4: Simplify right side
    96,682.80x = 6,679,385,841.67
  5. Step 5: Solve for x
    x = 6,679,385,841.67/96,682.80
  6. Step 6: Final answer
    x = 69,085.57

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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.