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Finding the Fourth Proportional to 52,365, 72,263.16 and 31,143.81

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Solution

The fourth proportional to 52,365, 72,263.16 and 31,143.81 is: 42,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,365 : 72,263.16 = 31,143.81 : x
  2. Step 2: Convert to fraction form
    52,365/72,263.16 = 31,143.81/x
  3. Step 3: Cross multiply
    52,365x = 72,263.16 × 31,143.81
  4. Step 4: Simplify right side
    52,365x = 2,250,550,125.04
  5. Step 5: Solve for x
    x = 2,250,550,125.04/52,365
  6. Step 6: Final answer
    x = 42,978.14

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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.