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Finding the Fourth Proportional to 52,538.59, 72,530 and 40,575.07

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Solution

The fourth proportional to 52,538.59, 72,530 and 40,575.07 is: 56,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.59 : 72,530 = 40,575.07 : x
  2. Step 2: Convert to fraction form
    52,538.59/72,530 = 40,575.07/x
  3. Step 3: Cross multiply
    52,538.59x = 72,530 × 40,575.07
  4. Step 4: Simplify right side
    52,538.59x = 2,942,909,827.10
  5. Step 5: Solve for x
    x = 2,942,909,827.10/52,538.59
  6. Step 6: Final answer
    x = 56,014.25

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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.