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Finding the Fourth Proportional to 45,972, 63,441.36 and 28,064.16

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Solution

The fourth proportional to 45,972, 63,441.36 and 28,064.16 is: 38,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,972 : 63,441.36 = 28,064.16 : x
  2. Step 2: Convert to fraction form
    45,972/63,441.36 = 28,064.16/x
  3. Step 3: Cross multiply
    45,972x = 63,441.36 × 28,064.16
  4. Step 4: Simplify right side
    45,972x = 1,780,428,477.66
  5. Step 5: Solve for x
    x = 1,780,428,477.66/45,972
  6. Step 6: Final answer
    x = 38,728.54

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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.