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Finding the Fourth Proportional to 32,008.32, 47,999.64 and 13,275.60

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Solution

The fourth proportional to 32,008.32, 47,999.64 and 13,275.60 is: 19,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.32 : 47,999.64 = 13,275.60 : x
  2. Step 2: Convert to fraction form
    32,008.32/47,999.64 = 13,275.60/x
  3. Step 3: Cross multiply
    32,008.32x = 47,999.64 × 13,275.60
  4. Step 4: Simplify right side
    32,008.32x = 637,224,020.78
  5. Step 5: Solve for x
    x = 637,224,020.78/32,008.32
  6. Step 6: Final answer
    x = 19,908.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.