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Finding the Fourth Proportional to 38,666.96, 58,000.44 and 9,482.96

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Solution

The fourth proportional to 38,666.96, 58,000.44 and 9,482.96 is: 14,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666.96 : 58,000.44 = 9,482.96 : x
  2. Step 2: Convert to fraction form
    38,666.96/58,000.44 = 9,482.96/x
  3. Step 3: Cross multiply
    38,666.96x = 58,000.44 × 9,482.96
  4. Step 4: Simplify right side
    38,666.96x = 550,015,852.50
  5. Step 5: Solve for x
    x = 550,015,852.50/38,666.96
  6. Step 6: Final answer
    x = 14,224.44

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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.