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Finding the Fourth Proportional to 42,096, 63,144.48 and 14,396.16

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Solution

The fourth proportional to 42,096, 63,144.48 and 14,396.16 is: 21,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096 : 63,144.48 = 14,396.16 : x
  2. Step 2: Convert to fraction form
    42,096/63,144.48 = 14,396.16/x
  3. Step 3: Cross multiply
    42,096x = 63,144.48 × 14,396.16
  4. Step 4: Simplify right side
    42,096x = 909,038,037.20
  5. Step 5: Solve for x
    x = 909,038,037.20/42,096
  6. Step 6: Final answer
    x = 21,594.40

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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.