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Finding the Fourth Proportional to 32,124, 44,330.16 and 17,784.42

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Solution

The fourth proportional to 32,124, 44,330.16 and 17,784.42 is: 24,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124 : 44,330.16 = 17,784.42 : x
  2. Step 2: Convert to fraction form
    32,124/44,330.16 = 17,784.42/x
  3. Step 3: Cross multiply
    32,124x = 44,330.16 × 17,784.42
  4. Step 4: Simplify right side
    32,124x = 788,386,184.11
  5. Step 5: Solve for x
    x = 788,386,184.11/32,124
  6. Step 6: Final answer
    x = 24,541.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.