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Finding the Fourth Proportional to 73,822.50, 101,875.14 and 40,288.50

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Solution

The fourth proportional to 73,822.50, 101,875.14 and 40,288.50 is: 55,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822.50 : 101,875.14 = 40,288.50 : x
  2. Step 2: Convert to fraction form
    73,822.50/101,875.14 = 40,288.50/x
  3. Step 3: Cross multiply
    73,822.50x = 101,875.14 × 40,288.50
  4. Step 4: Simplify right side
    73,822.50x = 4,104,396,577.89
  5. Step 5: Solve for x
    x = 4,104,396,577.89/73,822.50
  6. Step 6: Final answer
    x = 55,598.18

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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.