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Finding the Fourth Proportional to 72,804.40, 100,465.80 and 40,972

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Solution

The fourth proportional to 72,804.40, 100,465.80 and 40,972 is: 56,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,804.40 : 100,465.80 = 40,972 : x
  2. Step 2: Convert to fraction form
    72,804.40/100,465.80 = 40,972/x
  3. Step 3: Cross multiply
    72,804.40x = 100,465.80 × 40,972
  4. Step 4: Simplify right side
    72,804.40x = 4,116,284,757.60
  5. Step 5: Solve for x
    x = 4,116,284,757.60/72,804.40
  6. Step 6: Final answer
    x = 56,538.96

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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.