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Finding the Fourth Proportional to 32,790.64, 49,193.24 and 9,415.28

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Solution

The fourth proportional to 32,790.64, 49,193.24 and 9,415.28 is: 14,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,790.64 : 49,193.24 = 9,415.28 : x
  2. Step 2: Convert to fraction form
    32,790.64/49,193.24 = 9,415.28/x
  3. Step 3: Cross multiply
    32,790.64x = 49,193.24 × 9,415.28
  4. Step 4: Simplify right side
    32,790.64x = 463,168,128.71
  5. Step 5: Solve for x
    x = 463,168,128.71/32,790.64
  6. Step 6: Final answer
    x = 14,125.01

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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.