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Finding the Fourth Proportional to 52,303.42, 72,189.21 and 31,078.59

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Solution

The fourth proportional to 52,303.42, 72,189.21 and 31,078.59 is: 42,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303.42 : 72,189.21 = 31,078.59 : x
  2. Step 2: Convert to fraction form
    52,303.42/72,189.21 = 31,078.59/x
  3. Step 3: Cross multiply
    52,303.42x = 72,189.21 × 31,078.59
  4. Step 4: Simplify right side
    52,303.42x = 2,243,538,860.01
  5. Step 5: Solve for x
    x = 2,243,538,860.01/52,303.42
  6. Step 6: Final answer
    x = 42,894.69

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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.