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Finding the Fourth Proportional to 30,091.68, 45,128.16 and 10,097.28

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Solution

The fourth proportional to 30,091.68, 45,128.16 and 10,097.28 is: 15,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,091.68 : 45,128.16 = 10,097.28 : x
  2. Step 2: Convert to fraction form
    30,091.68/45,128.16 = 10,097.28/x
  3. Step 3: Cross multiply
    30,091.68x = 45,128.16 × 10,097.28
  4. Step 4: Simplify right side
    30,091.68x = 455,671,667.40
  5. Step 5: Solve for x
    x = 455,671,667.40/30,091.68
  6. Step 6: Final answer
    x = 15,142.78

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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.