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Finding the Fourth Proportional to 72,564.15, 108,888.26 and 30,440.50

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Solution

The fourth proportional to 72,564.15, 108,888.26 and 30,440.50 is: 45,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,564.15 : 108,888.26 = 30,440.50 : x
  2. Step 2: Convert to fraction form
    72,564.15/108,888.26 = 30,440.50/x
  3. Step 3: Cross multiply
    72,564.15x = 108,888.26 × 30,440.50
  4. Step 4: Simplify right side
    72,564.15x = 3,314,613,078.53
  5. Step 5: Solve for x
    x = 3,314,613,078.53/72,564.15
  6. Step 6: Final answer
    x = 45,678.38

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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.