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Finding the Fourth Proportional to 72,465.66, 108,678.78 and 19,862.64

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Solution

The fourth proportional to 72,465.66, 108,678.78 and 19,862.64 is: 29,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,465.66 : 108,678.78 = 19,862.64 : x
  2. Step 2: Convert to fraction form
    72,465.66/108,678.78 = 19,862.64/x
  3. Step 3: Cross multiply
    72,465.66x = 108,678.78 × 19,862.64
  4. Step 4: Simplify right side
    72,465.66x = 2,158,647,482.78
  5. Step 5: Solve for x
    x = 2,158,647,482.78/72,465.66
  6. Step 6: Final answer
    x = 29,788.56

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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.