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Finding the Fourth Proportional to 30,721.61, 46,008.60 and 17,534

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Solution

The fourth proportional to 30,721.61, 46,008.60 and 17,534 is: 26,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.61 : 46,008.60 = 17,534 : x
  2. Step 2: Convert to fraction form
    30,721.61/46,008.60 = 17,534/x
  3. Step 3: Cross multiply
    30,721.61x = 46,008.60 × 17,534
  4. Step 4: Simplify right side
    30,721.61x = 806,714,792.40
  5. Step 5: Solve for x
    x = 806,714,792.40/30,721.61
  6. Step 6: Final answer
    x = 26,258.87

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