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Finding the Fourth Proportional to 30,024.92, 45,039.68 and 10,303.32

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Solution

The fourth proportional to 30,024.92, 45,039.68 and 10,303.32 is: 15,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024.92 : 45,039.68 = 10,303.32 : x
  2. Step 2: Convert to fraction form
    30,024.92/45,039.68 = 10,303.32/x
  3. Step 3: Cross multiply
    30,024.92x = 45,039.68 × 10,303.32
  4. Step 4: Simplify right side
    30,024.92x = 464,058,235.74
  5. Step 5: Solve for x
    x = 464,058,235.74/30,024.92
  6. Step 6: Final answer
    x = 15,455.77

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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.