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Finding the Fourth Proportional to 46,003.86, 69,005.72 and 14,416.35

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Solution

The fourth proportional to 46,003.86, 69,005.72 and 14,416.35 is: 21,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,003.86 : 69,005.72 = 14,416.35 : x
  2. Step 2: Convert to fraction form
    46,003.86/69,005.72 = 14,416.35/x
  3. Step 3: Cross multiply
    46,003.86x = 69,005.72 × 14,416.35
  4. Step 4: Simplify right side
    46,003.86x = 994,810,539.44
  5. Step 5: Solve for x
    x = 994,810,539.44/46,003.86
  6. Step 6: Final answer
    x = 21,624.50

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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.