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Finding the Fourth Proportional to 30,461.88, 42,038.34 and 17,033.70

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Solution

The fourth proportional to 30,461.88, 42,038.34 and 17,033.70 is: 23,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.88 : 42,038.34 = 17,033.70 : x
  2. Step 2: Convert to fraction form
    30,461.88/42,038.34 = 17,033.70/x
  3. Step 3: Cross multiply
    30,461.88x = 42,038.34 × 17,033.70
  4. Step 4: Simplify right side
    30,461.88x = 716,068,472.06
  5. Step 5: Solve for x
    x = 716,068,472.06/30,461.88
  6. Step 6: Final answer
    x = 23,507.03

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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.