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Finding the Fourth Proportional to 72,538.04, 100,102.32 and 40,707.08

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Solution

The fourth proportional to 72,538.04, 100,102.32 and 40,707.08 is: 56,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.04 : 100,102.32 = 40,707.08 : x
  2. Step 2: Convert to fraction form
    72,538.04/100,102.32 = 40,707.08/x
  3. Step 3: Cross multiply
    72,538.04x = 100,102.32 × 40,707.08
  4. Step 4: Simplify right side
    72,538.04x = 4,074,873,148.43
  5. Step 5: Solve for x
    x = 4,074,873,148.43/72,538.04
  6. Step 6: Final answer
    x = 56,175.67

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