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Finding the Fourth Proportional to 65,407.90, 97,893.15 and 45,724.90

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Solution

The fourth proportional to 65,407.90, 97,893.15 and 45,724.90 is: 68,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.90 : 97,893.15 = 45,724.90 : x
  2. Step 2: Convert to fraction form
    65,407.90/97,893.15 = 45,724.90/x
  3. Step 3: Cross multiply
    65,407.90x = 97,893.15 × 45,724.90
  4. Step 4: Simplify right side
    65,407.90x = 4,476,154,494.44
  5. Step 5: Solve for x
    x = 4,476,154,494.44/65,407.90
  6. Step 6: Final answer
    x = 68,434.46

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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.