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Finding the Fourth Proportional to 57,038.46, 78,700.71 and 31,887.10

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Solution

The fourth proportional to 57,038.46, 78,700.71 and 31,887.10 is: 43,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.46 : 78,700.71 = 31,887.10 : x
  2. Step 2: Convert to fraction form
    57,038.46/78,700.71 = 31,887.10/x
  3. Step 3: Cross multiply
    57,038.46x = 78,700.71 × 31,887.10
  4. Step 4: Simplify right side
    57,038.46x = 2,509,537,409.84
  5. Step 5: Solve for x
    x = 2,509,537,409.84/57,038.46
  6. Step 6: Final answer
    x = 43,997.29

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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.