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Finding the Fourth Proportional to 35,486.12, 53,225.22 and 9,193.16

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Solution

The fourth proportional to 35,486.12, 53,225.22 and 9,193.16 is: 13,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,486.12 : 53,225.22 = 9,193.16 : x
  2. Step 2: Convert to fraction form
    35,486.12/53,225.22 = 9,193.16/x
  3. Step 3: Cross multiply
    35,486.12x = 53,225.22 × 9,193.16
  4. Step 4: Simplify right side
    35,486.12x = 489,307,963.50
  5. Step 5: Solve for x
    x = 489,307,963.50/35,486.12
  6. Step 6: Final answer
    x = 13,788.71

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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.