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Finding the Fourth Proportional to 65,199.64, 90,030.66 and 41,368.60

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Solution

The fourth proportional to 65,199.64, 90,030.66 and 41,368.60 is: 57,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.64 : 90,030.66 = 41,368.60 : x
  2. Step 2: Convert to fraction form
    65,199.64/90,030.66 = 41,368.60/x
  3. Step 3: Cross multiply
    65,199.64x = 90,030.66 × 41,368.60
  4. Step 4: Simplify right side
    65,199.64x = 3,724,442,361.28
  5. Step 5: Solve for x
    x = 3,724,442,361.28/65,199.64
  6. Step 6: Final answer
    x = 57,123.66

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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.