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Finding the Fourth Proportional to 30,345.88, 45,518.82 and 9,571

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Solution

The fourth proportional to 30,345.88, 45,518.82 and 9,571 is: 14,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345.88 : 45,518.82 = 9,571 : x
  2. Step 2: Convert to fraction form
    30,345.88/45,518.82 = 9,571/x
  3. Step 3: Cross multiply
    30,345.88x = 45,518.82 × 9,571
  4. Step 4: Simplify right side
    30,345.88x = 435,660,626.22
  5. Step 5: Solve for x
    x = 435,660,626.22/30,345.88
  6. Step 6: Final answer
    x = 14,356.50

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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.