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Finding the Fourth Proportional to 37,870.86, 52,243.16 and 24,437

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Solution

The fourth proportional to 37,870.86, 52,243.16 and 24,437 is: 33,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,870.86 : 52,243.16 = 24,437 : x
  2. Step 2: Convert to fraction form
    37,870.86/52,243.16 = 24,437/x
  3. Step 3: Cross multiply
    37,870.86x = 52,243.16 × 24,437
  4. Step 4: Simplify right side
    37,870.86x = 1,276,666,100.92
  5. Step 5: Solve for x
    x = 1,276,666,100.92/37,870.86
  6. Step 6: Final answer
    x = 33,711.04

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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.