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Finding the Fourth Proportional to 32,114.94, 48,159.90 and 11,050.98

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Solution

The fourth proportional to 32,114.94, 48,159.90 and 11,050.98 is: 16,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.94 : 48,159.90 = 11,050.98 : x
  2. Step 2: Convert to fraction form
    32,114.94/48,159.90 = 11,050.98/x
  3. Step 3: Cross multiply
    32,114.94x = 48,159.90 × 11,050.98
  4. Step 4: Simplify right side
    32,114.94x = 532,214,091.70
  5. Step 5: Solve for x
    x = 532,214,091.70/32,114.94
  6. Step 6: Final answer
    x = 16,572.17

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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.