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Finding the Fourth Proportional to 32,000.95, 48,010.70 and 9,817.60

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Solution

The fourth proportional to 32,000.95, 48,010.70 and 9,817.60 is: 14,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.95 : 48,010.70 = 9,817.60 : x
  2. Step 2: Convert to fraction form
    32,000.95/48,010.70 = 9,817.60/x
  3. Step 3: Cross multiply
    32,000.95x = 48,010.70 × 9,817.60
  4. Step 4: Simplify right side
    32,000.95x = 471,349,848.32
  5. Step 5: Solve for x
    x = 471,349,848.32/32,000.95
  6. Step 6: Final answer
    x = 14,729.25

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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.