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Finding the Fourth Proportional to 46,433.84, 64,080 and 27,315.02

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Solution

The fourth proportional to 46,433.84, 64,080 and 27,315.02 is: 37,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,433.84 : 64,080 = 27,315.02 : x
  2. Step 2: Convert to fraction form
    46,433.84/64,080 = 27,315.02/x
  3. Step 3: Cross multiply
    46,433.84x = 64,080 × 27,315.02
  4. Step 4: Simplify right side
    46,433.84x = 1,750,346,481.60
  5. Step 5: Solve for x
    x = 1,750,346,481.60/46,433.84
  6. Step 6: Final answer
    x = 37,695.49

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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.