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Finding the Fourth Proportional to 30,050.16, 41,468 and 16,437.98

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Solution

The fourth proportional to 30,050.16, 41,468 and 16,437.98 is: 22,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050.16 : 41,468 = 16,437.98 : x
  2. Step 2: Convert to fraction form
    30,050.16/41,468 = 16,437.98/x
  3. Step 3: Cross multiply
    30,050.16x = 41,468 × 16,437.98
  4. Step 4: Simplify right side
    30,050.16x = 681,650,154.64
  5. Step 5: Solve for x
    x = 681,650,154.64/30,050.16
  6. Step 6: Final answer
    x = 22,683.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.