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Finding the Fourth Proportional to 29,968.32, 44,948.64 and 9,190.08

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Solution

The fourth proportional to 29,968.32, 44,948.64 and 9,190.08 is: 13,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.32 : 44,948.64 = 9,190.08 : x
  2. Step 2: Convert to fraction form
    29,968.32/44,948.64 = 9,190.08/x
  3. Step 3: Cross multiply
    29,968.32x = 44,948.64 × 9,190.08
  4. Step 4: Simplify right side
    29,968.32x = 413,081,597.49
  5. Step 5: Solve for x
    x = 413,081,597.49/29,968.32
  6. Step 6: Final answer
    x = 13,783.94

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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.