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Finding the Fourth Proportional to 40,894.21, 61,312.59 and 15,913.21

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Solution

The fourth proportional to 40,894.21, 61,312.59 and 15,913.21 is: 23,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894.21 : 61,312.59 = 15,913.21 : x
  2. Step 2: Convert to fraction form
    40,894.21/61,312.59 = 15,913.21/x
  3. Step 3: Cross multiply
    40,894.21x = 61,312.59 × 15,913.21
  4. Step 4: Simplify right side
    40,894.21x = 975,680,120.31
  5. Step 5: Solve for x
    x = 975,680,120.31/40,894.21
  6. Step 6: Final answer
    x = 23,858.64

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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.