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Finding the Fourth Proportional to 30,041.94, 45,069.24 and 8,983.62

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Solution

The fourth proportional to 30,041.94, 45,069.24 and 8,983.62 is: 13,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.94 : 45,069.24 = 8,983.62 : x
  2. Step 2: Convert to fraction form
    30,041.94/45,069.24 = 8,983.62/x
  3. Step 3: Cross multiply
    30,041.94x = 45,069.24 × 8,983.62
  4. Step 4: Simplify right side
    30,041.94x = 404,884,925.85
  5. Step 5: Solve for x
    x = 404,884,925.85/30,041.94
  6. Step 6: Final answer
    x = 13,477.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.