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Finding the Fourth Proportional to 30,977.10, 42,749.64 and 17,550

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Solution

The fourth proportional to 30,977.10, 42,749.64 and 17,550 is: 24,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.10 : 42,749.64 = 17,550 : x
  2. Step 2: Convert to fraction form
    30,977.10/42,749.64 = 17,550/x
  3. Step 3: Cross multiply
    30,977.10x = 42,749.64 × 17,550
  4. Step 4: Simplify right side
    30,977.10x = 750,256,182
  5. Step 5: Solve for x
    x = 750,256,182/30,977.10
  6. Step 6: Final answer
    x = 24,219.70

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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.