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Finding the Fourth Proportional to 57,021, 78,688.76 and 31,870.50

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Solution

The fourth proportional to 57,021, 78,688.76 and 31,870.50 is: 43,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,021 : 78,688.76 = 31,870.50 : x
  2. Step 2: Convert to fraction form
    57,021/78,688.76 = 31,870.50/x
  3. Step 3: Cross multiply
    57,021x = 78,688.76 × 31,870.50
  4. Step 4: Simplify right side
    57,021x = 2,507,850,125.58
  5. Step 5: Solve for x
    x = 2,507,850,125.58/57,021
  6. Step 6: Final answer
    x = 43,981.17

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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.