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Finding the Fourth Proportional to 30,051.32, 45,091.15 and 13,409.87

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Solution

The fourth proportional to 30,051.32, 45,091.15 and 13,409.87 is: 20,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051.32 : 45,091.15 = 13,409.87 : x
  2. Step 2: Convert to fraction form
    30,051.32/45,091.15 = 13,409.87/x
  3. Step 3: Cross multiply
    30,051.32x = 45,091.15 × 13,409.87
  4. Step 4: Simplify right side
    30,051.32x = 604,666,200.67
  5. Step 5: Solve for x
    x = 604,666,200.67/30,051.32
  6. Step 6: Final answer
    x = 20,121.12

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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.