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Finding the Fourth Proportional to 124,471.59, 186,707.43 and 30,977.34

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Solution

The fourth proportional to 124,471.59, 186,707.43 and 30,977.34 is: 46,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,471.59 : 186,707.43 = 30,977.34 : x
  2. Step 2: Convert to fraction form
    124,471.59/186,707.43 = 30,977.34/x
  3. Step 3: Cross multiply
    124,471.59x = 186,707.43 × 30,977.34
  4. Step 4: Simplify right side
    124,471.59x = 5,783,699,539.64
  5. Step 5: Solve for x
    x = 5,783,699,539.64/124,471.59
  6. Step 6: Final answer
    x = 46,466.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.