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Finding the Fourth Proportional to 32,784.64, 49,184.24 and 9,409.28

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Solution

The fourth proportional to 32,784.64, 49,184.24 and 9,409.28 is: 14,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.64 : 49,184.24 = 9,409.28 : x
  2. Step 2: Convert to fraction form
    32,784.64/49,184.24 = 9,409.28/x
  3. Step 3: Cross multiply
    32,784.64x = 49,184.24 × 9,409.28
  4. Step 4: Simplify right side
    32,784.64x = 462,788,285.75
  5. Step 5: Solve for x
    x = 462,788,285.75/32,784.64
  6. Step 6: Final answer
    x = 14,116.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.