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Finding the Fourth Proportional to 30,130.94, 45,207.35 and 10,411.49

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Solution

The fourth proportional to 30,130.94, 45,207.35 and 10,411.49 is: 15,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130.94 : 45,207.35 = 10,411.49 : x
  2. Step 2: Convert to fraction form
    30,130.94/45,207.35 = 10,411.49/x
  3. Step 3: Cross multiply
    30,130.94x = 45,207.35 × 10,411.49
  4. Step 4: Simplify right side
    30,130.94x = 470,675,594.36
  5. Step 5: Solve for x
    x = 470,675,594.36/30,130.94
  6. Step 6: Final answer
    x = 15,621.01

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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.