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Finding the Fourth Proportional to 46,457.50, 64,124.01 and 27,343.40

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Solution

The fourth proportional to 46,457.50, 64,124.01 and 27,343.40 is: 37,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,457.50 : 64,124.01 = 27,343.40 : x
  2. Step 2: Convert to fraction form
    46,457.50/64,124.01 = 27,343.40/x
  3. Step 3: Cross multiply
    46,457.50x = 64,124.01 × 27,343.40
  4. Step 4: Simplify right side
    46,457.50x = 1,753,368,455.03
  5. Step 5: Solve for x
    x = 1,753,368,455.03/46,457.50
  6. Step 6: Final answer
    x = 37,741.34

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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.