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Finding the Fourth Proportional to 72,840.88, 100,513.47 and 53,731

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Solution

The fourth proportional to 72,840.88, 100,513.47 and 53,731 is: 74,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,840.88 : 100,513.47 = 53,731 : x
  2. Step 2: Convert to fraction form
    72,840.88/100,513.47 = 53,731/x
  3. Step 3: Cross multiply
    72,840.88x = 100,513.47 × 53,731
  4. Step 4: Simplify right side
    72,840.88x = 5,400,689,256.57
  5. Step 5: Solve for x
    x = 5,400,689,256.57/72,840.88
  6. Step 6: Final answer
    x = 74,143.66

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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.