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Finding the Fourth Proportional to 66,814.32, 92,200.16 and 36,598.08

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Solution

The fourth proportional to 66,814.32, 92,200.16 and 36,598.08 is: 50,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,814.32 : 92,200.16 = 36,598.08 : x
  2. Step 2: Convert to fraction form
    66,814.32/92,200.16 = 36,598.08/x
  3. Step 3: Cross multiply
    66,814.32x = 92,200.16 × 36,598.08
  4. Step 4: Simplify right side
    66,814.32x = 3,374,348,831.69
  5. Step 5: Solve for x
    x = 3,374,348,831.69/66,814.32
  6. Step 6: Final answer
    x = 50,503.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.