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Finding the Fourth Proportional to 52,349.86, 78,326.63 and 31,014.03

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Solution

The fourth proportional to 52,349.86, 78,326.63 and 31,014.03 is: 46,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,349.86 : 78,326.63 = 31,014.03 : x
  2. Step 2: Convert to fraction form
    52,349.86/78,326.63 = 31,014.03/x
  3. Step 3: Cross multiply
    52,349.86x = 78,326.63 × 31,014.03
  4. Step 4: Simplify right side
    52,349.86x = 2,429,223,905.92
  5. Step 5: Solve for x
    x = 2,429,223,905.92/52,349.86
  6. Step 6: Final answer
    x = 46,403.64

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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.