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Finding the Fourth Proportional to 42,894.88, 64,341.41 and 11,730.13

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Solution

The fourth proportional to 42,894.88, 64,341.41 and 11,730.13 is: 17,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.88 : 64,341.41 = 11,730.13 : x
  2. Step 2: Convert to fraction form
    42,894.88/64,341.41 = 11,730.13/x
  3. Step 3: Cross multiply
    42,894.88x = 64,341.41 × 11,730.13
  4. Step 4: Simplify right side
    42,894.88x = 754,732,884.18
  5. Step 5: Solve for x
    x = 754,732,884.18/42,894.88
  6. Step 6: Final answer
    x = 17,594.94

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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.