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Finding the Fourth Proportional to 32,208.32, 48,312.64 and 14,666.24

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Solution

The fourth proportional to 32,208.32, 48,312.64 and 14,666.24 is: 21,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.32 : 48,312.64 = 14,666.24 : x
  2. Step 2: Convert to fraction form
    32,208.32/48,312.64 = 14,666.24/x
  3. Step 3: Cross multiply
    32,208.32x = 48,312.64 × 14,666.24
  4. Step 4: Simplify right side
    32,208.32x = 708,564,773.27
  5. Step 5: Solve for x
    x = 708,564,773.27/32,208.32
  6. Step 6: Final answer
    x = 21,999.43

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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.