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Finding the Fourth Proportional to 52,416.72, 72,323.79 and 31,191.84

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Solution

The fourth proportional to 52,416.72, 72,323.79 and 31,191.84 is: 43,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416.72 : 72,323.79 = 31,191.84 : x
  2. Step 2: Convert to fraction form
    52,416.72/72,323.79 = 31,191.84/x
  3. Step 3: Cross multiply
    52,416.72x = 72,323.79 × 31,191.84
  4. Step 4: Simplify right side
    52,416.72x = 2,255,912,085.87
  5. Step 5: Solve for x
    x = 2,255,912,085.87/52,416.72
  6. Step 6: Final answer
    x = 43,038.02

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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.