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Finding the Fourth Proportional to 73,602.34, 101,567.73 and 41,766.91

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Solution

The fourth proportional to 73,602.34, 101,567.73 and 41,766.91 is: 57,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,602.34 : 101,567.73 = 41,766.91 : x
  2. Step 2: Convert to fraction form
    73,602.34/101,567.73 = 41,766.91/x
  3. Step 3: Cross multiply
    73,602.34x = 101,567.73 × 41,766.91
  4. Step 4: Simplify right side
    73,602.34x = 4,242,170,237.81
  5. Step 5: Solve for x
    x = 4,242,170,237.81/73,602.34
  6. Step 6: Final answer
    x = 57,636.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.