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Finding the Fourth Proportional to 46,592.36, 64,288.90 and 27,478.13

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Solution

The fourth proportional to 46,592.36, 64,288.90 and 27,478.13 is: 37,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,592.36 : 64,288.90 = 27,478.13 : x
  2. Step 2: Convert to fraction form
    46,592.36/64,288.90 = 27,478.13/x
  3. Step 3: Cross multiply
    46,592.36x = 64,288.90 × 27,478.13
  4. Step 4: Simplify right side
    46,592.36x = 1,766,538,751.76
  5. Step 5: Solve for x
    x = 1,766,538,751.76/46,592.36
  6. Step 6: Final answer
    x = 37,914.77

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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.