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Finding the Fourth Proportional to 92,493.64, 138,813.36 and 47,513.16

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Solution

The fourth proportional to 92,493.64, 138,813.36 and 47,513.16 is: 71,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,493.64 : 138,813.36 = 47,513.16 : x
  2. Step 2: Convert to fraction form
    92,493.64/138,813.36 = 47,513.16/x
  3. Step 3: Cross multiply
    92,493.64x = 138,813.36 × 47,513.16
  4. Step 4: Simplify right side
    92,493.64x = 6,595,461,383.82
  5. Step 5: Solve for x
    x = 6,595,461,383.82/92,493.64
  6. Step 6: Final answer
    x = 71,307.19

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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.