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Finding the Fourth Proportional to 32,000.58, 47,999.07 and 9,813.89

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Solution

The fourth proportional to 32,000.58, 47,999.07 and 9,813.89 is: 14,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.58 : 47,999.07 = 9,813.89 : x
  2. Step 2: Convert to fraction form
    32,000.58/47,999.07 = 9,813.89/x
  3. Step 3: Cross multiply
    32,000.58x = 47,999.07 × 9,813.89
  4. Step 4: Simplify right side
    32,000.58x = 471,057,699.28
  5. Step 5: Solve for x
    x = 471,057,699.28/32,000.58
  6. Step 6: Final answer
    x = 14,720.29

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1.5x scale

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.