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Finding the Fourth Proportional to 42,894.43, 64,338.54 and 14,431.57

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Solution

The fourth proportional to 42,894.43, 64,338.54 and 14,431.57 is: 21,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.43 : 64,338.54 = 14,431.57 : x
  2. Step 2: Convert to fraction form
    42,894.43/64,338.54 = 14,431.57/x
  3. Step 3: Cross multiply
    42,894.43x = 64,338.54 × 14,431.57
  4. Step 4: Simplify right side
    42,894.43x = 928,506,143.71
  5. Step 5: Solve for x
    x = 928,506,143.71/42,894.43
  6. Step 6: Final answer
    x = 21,646.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.