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Finding the Fourth Proportional to 30,430.96, 45,643.87 and 10,438.81

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Solution

The fourth proportional to 30,430.96, 45,643.87 and 10,438.81 is: 15,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.96 : 45,643.87 = 10,438.81 : x
  2. Step 2: Convert to fraction form
    30,430.96/45,643.87 = 10,438.81/x
  3. Step 3: Cross multiply
    30,430.96x = 45,643.87 × 10,438.81
  4. Step 4: Simplify right side
    30,430.96x = 476,467,585.53
  5. Step 5: Solve for x
    x = 476,467,585.53/30,430.96
  6. Step 6: Final answer
    x = 15,657.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.