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Finding the Fourth Proportional to 32,045.96, 48,068.22 and 14,503.08

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Solution

The fourth proportional to 32,045.96, 48,068.22 and 14,503.08 is: 21,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.96 : 48,068.22 = 14,503.08 : x
  2. Step 2: Convert to fraction form
    32,045.96/48,068.22 = 14,503.08/x
  3. Step 3: Cross multiply
    32,045.96x = 48,068.22 × 14,503.08
  4. Step 4: Simplify right side
    32,045.96x = 697,137,240.12
  5. Step 5: Solve for x
    x = 697,137,240.12/32,045.96
  6. Step 6: Final answer
    x = 21,754.29

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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.