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Finding the Fourth Proportional to 30,881.86, 46,322.66 and 7,508.50

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Solution

The fourth proportional to 30,881.86, 46,322.66 and 7,508.50 is: 11,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.86 : 46,322.66 = 7,508.50 : x
  2. Step 2: Convert to fraction form
    30,881.86/46,322.66 = 7,508.50/x
  3. Step 3: Cross multiply
    30,881.86x = 46,322.66 × 7,508.50
  4. Step 4: Simplify right side
    30,881.86x = 347,813,655.07
  5. Step 5: Solve for x
    x = 347,813,655.07/30,881.86
  6. Step 6: Final answer
    x = 11,262.72

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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.