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Finding the Fourth Proportional to 30,134.40, 45,192.96 and 10,412.16

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Solution

The fourth proportional to 30,134.40, 45,192.96 and 10,412.16 is: 15,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134.40 : 45,192.96 = 10,412.16 : x
  2. Step 2: Convert to fraction form
    30,134.40/45,192.96 = 10,412.16/x
  3. Step 3: Cross multiply
    30,134.40x = 45,192.96 × 10,412.16
  4. Step 4: Simplify right side
    30,134.40x = 470,556,330.39
  5. Step 5: Solve for x
    x = 470,556,330.39/30,134.40
  6. Step 6: Final answer
    x = 15,615.25

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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.