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Finding the Fourth Proportional to 57,701.16, 86,551.74 and 31,457.16

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Solution

The fourth proportional to 57,701.16, 86,551.74 and 31,457.16 is: 47,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.16 : 86,551.74 = 31,457.16 : x
  2. Step 2: Convert to fraction form
    57,701.16/86,551.74 = 31,457.16/x
  3. Step 3: Cross multiply
    57,701.16x = 86,551.74 × 31,457.16
  4. Step 4: Simplify right side
    57,701.16x = 2,722,671,933.46
  5. Step 5: Solve for x
    x = 2,722,671,933.46/57,701.16
  6. Step 6: Final answer
    x = 47,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.