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Finding the Fourth Proportional to 32,384.56, 48,570.36 and 9,004.72

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Solution

The fourth proportional to 32,384.56, 48,570.36 and 9,004.72 is: 13,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.56 : 48,570.36 = 9,004.72 : x
  2. Step 2: Convert to fraction form
    32,384.56/48,570.36 = 9,004.72/x
  3. Step 3: Cross multiply
    32,384.56x = 48,570.36 × 9,004.72
  4. Step 4: Simplify right side
    32,384.56x = 437,362,492.10
  5. Step 5: Solve for x
    x = 437,362,492.10/32,384.56
  6. Step 6: Final answer
    x = 13,505.28

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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.