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Finding the Fourth Proportional to 38,566.16, 53,220.90 and 21,570.20

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Solution

The fourth proportional to 38,566.16, 53,220.90 and 21,570.20 is: 29,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.16 : 53,220.90 = 21,570.20 : x
  2. Step 2: Convert to fraction form
    38,566.16/53,220.90 = 21,570.20/x
  3. Step 3: Cross multiply
    38,566.16x = 53,220.90 × 21,570.20
  4. Step 4: Simplify right side
    38,566.16x = 1,147,985,457.18
  5. Step 5: Solve for x
    x = 1,147,985,457.18/38,566.16
  6. Step 6: Final answer
    x = 29,766.65

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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.