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Finding the Fourth Proportional to 97,963.61, 147,010.93 and 35,634.11

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Solution

The fourth proportional to 97,963.61, 147,010.93 and 35,634.11 is: 53,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963.61 : 147,010.93 = 35,634.11 : x
  2. Step 2: Convert to fraction form
    97,963.61/147,010.93 = 35,634.11/x
  3. Step 3: Cross multiply
    97,963.61x = 147,010.93 × 35,634.11
  4. Step 4: Simplify right side
    97,963.61x = 5,238,602,826.68
  5. Step 5: Solve for x
    x = 5,238,602,826.68/97,963.61
  6. Step 6: Final answer
    x = 53,474.99

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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.