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Finding the Fourth Proportional to 32,409.64, 48,598.26 and 14,864.50

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Solution

The fourth proportional to 32,409.64, 48,598.26 and 14,864.50 is: 22,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.64 : 48,598.26 = 14,864.50 : x
  2. Step 2: Convert to fraction form
    32,409.64/48,598.26 = 14,864.50/x
  3. Step 3: Cross multiply
    32,409.64x = 48,598.26 × 14,864.50
  4. Step 4: Simplify right side
    32,409.64x = 722,388,835.77
  5. Step 5: Solve for x
    x = 722,388,835.77/32,409.64
  6. Step 6: Final answer
    x = 22,289.32

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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.