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Finding the Fourth Proportional to 65,201.56, 97,835.14 and 48,594.94

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Solution

The fourth proportional to 65,201.56, 97,835.14 and 48,594.94 is: 72,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.56 : 97,835.14 = 48,594.94 : x
  2. Step 2: Convert to fraction form
    65,201.56/97,835.14 = 48,594.94/x
  3. Step 3: Cross multiply
    65,201.56x = 97,835.14 × 48,594.94
  4. Step 4: Simplify right side
    65,201.56x = 4,754,292,758.19
  5. Step 5: Solve for x
    x = 4,754,292,758.19/65,201.56
  6. Step 6: Final answer
    x = 72,916.86

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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.