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Finding the Fourth Proportional to 72,051.76, 108,019.32 and 27,655.84

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Solution

The fourth proportional to 72,051.76, 108,019.32 and 27,655.84 is: 41,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,051.76 : 108,019.32 = 27,655.84 : x
  2. Step 2: Convert to fraction form
    72,051.76/108,019.32 = 27,655.84/x
  3. Step 3: Cross multiply
    72,051.76x = 108,019.32 × 27,655.84
  4. Step 4: Simplify right side
    72,051.76x = 2,987,365,030.83
  5. Step 5: Solve for x
    x = 2,987,365,030.83/72,051.76
  6. Step 6: Final answer
    x = 41,461.37

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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.