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Finding the Fourth Proportional to 30,461.68, 42,037 and 17,032.90

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Solution

The fourth proportional to 30,461.68, 42,037 and 17,032.90 is: 23,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.68 : 42,037 = 17,032.90 : x
  2. Step 2: Convert to fraction form
    30,461.68/42,037 = 17,032.90/x
  3. Step 3: Cross multiply
    30,461.68x = 42,037 × 17,032.90
  4. Step 4: Simplify right side
    30,461.68x = 716,012,017.30
  5. Step 5: Solve for x
    x = 716,012,017.30/30,461.68
  6. Step 6: Final answer
    x = 23,505.34

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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.