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Finding the Fourth Proportional to 32,000.61, 47,999.16 and 9,813.99

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Solution

The fourth proportional to 32,000.61, 47,999.16 and 9,813.99 is: 14,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.61 : 47,999.16 = 9,813.99 : x
  2. Step 2: Convert to fraction form
    32,000.61/47,999.16 = 9,813.99/x
  3. Step 3: Cross multiply
    32,000.61x = 47,999.16 × 9,813.99
  4. Step 4: Simplify right side
    32,000.61x = 471,063,276.25
  5. Step 5: Solve for x
    x = 471,063,276.25/32,000.61
  6. Step 6: Final answer
    x = 14,720.45

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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.