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Finding the Fourth Proportional to 32,784.59, 49,041.55 and 24,827.32

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Solution

The fourth proportional to 32,784.59, 49,041.55 and 24,827.32 is: 37,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.59 : 49,041.55 = 24,827.32 : x
  2. Step 2: Convert to fraction form
    32,784.59/49,041.55 = 24,827.32/x
  3. Step 3: Cross multiply
    32,784.59x = 49,041.55 × 24,827.32
  4. Step 4: Simplify right side
    32,784.59x = 1,217,570,255.15
  5. Step 5: Solve for x
    x = 1,217,570,255.15/32,784.59
  6. Step 6: Final answer
    x = 37,138.49

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