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Finding the Fourth Proportional to 32,074.16, 48,111.23 and 14,300.22

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Solution

The fourth proportional to 32,074.16, 48,111.23 and 14,300.22 is: 21,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.16 : 48,111.23 = 14,300.22 : x
  2. Step 2: Convert to fraction form
    32,074.16/48,111.23 = 14,300.22/x
  3. Step 3: Cross multiply
    32,074.16x = 48,111.23 × 14,300.22
  4. Step 4: Simplify right side
    32,074.16x = 688,001,101.97
  5. Step 5: Solve for x
    x = 688,001,101.97/32,074.16
  6. Step 6: Final answer
    x = 21,450.33

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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.