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Finding the Fourth Proportional to 65,426, 90,287.88 and 35,618

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Solution

The fourth proportional to 65,426, 90,287.88 and 35,618 is: 49,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,426 : 90,287.88 = 35,618 : x
  2. Step 2: Convert to fraction form
    65,426/90,287.88 = 35,618/x
  3. Step 3: Cross multiply
    65,426x = 90,287.88 × 35,618
  4. Step 4: Simplify right side
    65,426x = 3,215,873,709.84
  5. Step 5: Solve for x
    x = 3,215,873,709.84/65,426
  6. Step 6: Final answer
    x = 49,152.84

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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.