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Finding the Fourth Proportional to 32,123.19, 48,114.63 and 13,346.31

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Solution

The fourth proportional to 32,123.19, 48,114.63 and 13,346.31 is: 19,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.19 : 48,114.63 = 13,346.31 : x
  2. Step 2: Convert to fraction form
    32,123.19/48,114.63 = 13,346.31/x
  3. Step 3: Cross multiply
    32,123.19x = 48,114.63 × 13,346.31
  4. Step 4: Simplify right side
    32,123.19x = 642,152,767.52
  5. Step 5: Solve for x
    x = 642,152,767.52/32,123.19
  6. Step 6: Final answer
    x = 19,990.32

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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.