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Finding the Fourth Proportional to 46,704.16, 64,460.10 and 27,842.50

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Solution

The fourth proportional to 46,704.16, 64,460.10 and 27,842.50 is: 38,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704.16 : 64,460.10 = 27,842.50 : x
  2. Step 2: Convert to fraction form
    46,704.16/64,460.10 = 27,842.50/x
  3. Step 3: Cross multiply
    46,704.16x = 64,460.10 × 27,842.50
  4. Step 4: Simplify right side
    46,704.16x = 1,794,730,334.25
  5. Step 5: Solve for x
    x = 1,794,730,334.25/46,704.16
  6. Step 6: Final answer
    x = 38,427.63

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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.