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Finding the Fourth Proportional to 65,298, 90,111.30 and 35,490

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Solution

The fourth proportional to 65,298, 90,111.30 and 35,490 is: 48,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298 : 90,111.30 = 35,490 : x
  2. Step 2: Convert to fraction form
    65,298/90,111.30 = 35,490/x
  3. Step 3: Cross multiply
    65,298x = 90,111.30 × 35,490
  4. Step 4: Simplify right side
    65,298x = 3,198,050,037
  5. Step 5: Solve for x
    x = 3,198,050,037/65,298
  6. Step 6: Final answer
    x = 48,976.23

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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.