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Finding the Fourth Proportional to 65,999.22, 98,834.76 and 46,185

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Solution

The fourth proportional to 65,999.22, 98,834.76 and 46,185 is: 69,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,999.22 : 98,834.76 = 46,185 : x
  2. Step 2: Convert to fraction form
    65,999.22/98,834.76 = 46,185/x
  3. Step 3: Cross multiply
    65,999.22x = 98,834.76 × 46,185
  4. Step 4: Simplify right side
    65,999.22x = 4,564,683,390.60
  5. Step 5: Solve for x
    x = 4,564,683,390.60/65,999.22
  6. Step 6: Final answer
    x = 69,162.69

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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.