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Finding the Fourth Proportional to 129,652.32, 194,361.60 and 46,526.88

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Solution

The fourth proportional to 129,652.32, 194,361.60 and 46,526.88 is: 69,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,652.32 : 194,361.60 = 46,526.88 : x
  2. Step 2: Convert to fraction form
    129,652.32/194,361.60 = 46,526.88/x
  3. Step 3: Cross multiply
    129,652.32x = 194,361.60 × 46,526.88
  4. Step 4: Simplify right side
    129,652.32x = 9,043,038,839.81
  5. Step 5: Solve for x
    x = 9,043,038,839.81/129,652.32
  6. Step 6: Final answer
    x = 69,748.38

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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.