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Finding the Fourth Proportional to 65,097.60, 97,701.72 and 46,423.44

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Solution

The fourth proportional to 65,097.60, 97,701.72 and 46,423.44 is: 69,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.60 : 97,701.72 = 46,423.44 : x
  2. Step 2: Convert to fraction form
    65,097.60/97,701.72 = 46,423.44/x
  3. Step 3: Cross multiply
    65,097.60x = 97,701.72 × 46,423.44
  4. Step 4: Simplify right side
    65,097.60x = 4,535,649,936.32
  5. Step 5: Solve for x
    x = 4,535,649,936.32/65,097.60
  6. Step 6: Final answer
    x = 69,674.61

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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.