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Finding the Fourth Proportional to 32,625, 48,937.50 and 14,157

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Solution

The fourth proportional to 32,625, 48,937.50 and 14,157 is: 21,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,625 : 48,937.50 = 14,157 : x
  2. Step 2: Convert to fraction form
    32,625/48,937.50 = 14,157/x
  3. Step 3: Cross multiply
    32,625x = 48,937.50 × 14,157
  4. Step 4: Simplify right side
    32,625x = 692,808,187.50
  5. Step 5: Solve for x
    x = 692,808,187.50/32,625
  6. Step 6: Final answer
    x = 21,235.50

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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.