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Finding the Fourth Proportional to 30,129.64, 45,199.49 and 10,402.90

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Solution

The fourth proportional to 30,129.64, 45,199.49 and 10,402.90 is: 15,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.64 : 45,199.49 = 10,402.90 : x
  2. Step 2: Convert to fraction form
    30,129.64/45,199.49 = 10,402.90/x
  3. Step 3: Cross multiply
    30,129.64x = 45,199.49 × 10,402.90
  4. Step 4: Simplify right side
    30,129.64x = 470,205,609.51
  5. Step 5: Solve for x
    x = 470,205,609.51/30,129.64
  6. Step 6: Final answer
    x = 15,606.08

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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.