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Finding the Fourth Proportional to 30,149.76, 45,235.44 and 10,430.28

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Solution

The fourth proportional to 30,149.76, 45,235.44 and 10,430.28 is: 15,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.76 : 45,235.44 = 10,430.28 : x
  2. Step 2: Convert to fraction form
    30,149.76/45,235.44 = 10,430.28/x
  3. Step 3: Cross multiply
    30,149.76x = 45,235.44 × 10,430.28
  4. Step 4: Simplify right side
    30,149.76x = 471,818,305.12
  5. Step 5: Solve for x
    x = 471,818,305.12/30,149.76
  6. Step 6: Final answer
    x = 15,649.16

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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.