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Finding the Fourth Proportional to 32,967.63, 49,459.65 and 9,594.07

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Solution

The fourth proportional to 32,967.63, 49,459.65 and 9,594.07 is: 14,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.63 : 49,459.65 = 9,594.07 : x
  2. Step 2: Convert to fraction form
    32,967.63/49,459.65 = 9,594.07/x
  3. Step 3: Cross multiply
    32,967.63x = 49,459.65 × 9,594.07
  4. Step 4: Simplify right side
    32,967.63x = 474,519,364.23
  5. Step 5: Solve for x
    x = 474,519,364.23/32,967.63
  6. Step 6: Final answer
    x = 14,393.49

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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.