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Finding the Fourth Proportional to 32,434.32, 48,643.80 and 14,893.20

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Solution

The fourth proportional to 32,434.32, 48,643.80 and 14,893.20 is: 22,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.32 : 48,643.80 = 14,893.20 : x
  2. Step 2: Convert to fraction form
    32,434.32/48,643.80 = 14,893.20/x
  3. Step 3: Cross multiply
    32,434.32x = 48,643.80 × 14,893.20
  4. Step 4: Simplify right side
    32,434.32x = 724,461,842.16
  5. Step 5: Solve for x
    x = 724,461,842.16/32,434.32
  6. Step 6: Final answer
    x = 22,336.27

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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.