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Finding the Fourth Proportional to 65,904.84, 98,856.90 and 15,984.84

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Solution

The fourth proportional to 65,904.84, 98,856.90 and 15,984.84 is: 23,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,904.84 : 98,856.90 = 15,984.84 : x
  2. Step 2: Convert to fraction form
    65,904.84/98,856.90 = 15,984.84/x
  3. Step 3: Cross multiply
    65,904.84x = 98,856.90 × 15,984.84
  4. Step 4: Simplify right side
    65,904.84x = 1,580,211,729.40
  5. Step 5: Solve for x
    x = 1,580,211,729.40/65,904.84
  6. Step 6: Final answer
    x = 23,977.17

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1.5x scale

Why These Related Problems?

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