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Finding the Fourth Proportional to 46,460.44, 64,141.98 and 30,591

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Solution

The fourth proportional to 46,460.44, 64,141.98 and 30,591 is: 42,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.44 : 64,141.98 = 30,591 : x
  2. Step 2: Convert to fraction form
    46,460.44/64,141.98 = 30,591/x
  3. Step 3: Cross multiply
    46,460.44x = 64,141.98 × 30,591
  4. Step 4: Simplify right side
    46,460.44x = 1,962,167,310.18
  5. Step 5: Solve for x
    x = 1,962,167,310.18/46,460.44
  6. Step 6: Final answer
    x = 42,233.08

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