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Finding the Fourth Proportional to 32,904.94, 49,364.64 and 15,365.20

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Solution

The fourth proportional to 32,904.94, 49,364.64 and 15,365.20 is: 23,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904.94 : 49,364.64 = 15,365.20 : x
  2. Step 2: Convert to fraction form
    32,904.94/49,364.64 = 15,365.20/x
  3. Step 3: Cross multiply
    32,904.94x = 49,364.64 × 15,365.20
  4. Step 4: Simplify right side
    32,904.94x = 758,497,566.53
  5. Step 5: Solve for x
    x = 758,497,566.53/32,904.94
  6. Step 6: Final answer
    x = 23,051.18

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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.