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Finding the Fourth Proportional to 92,302.94, 138,410.67 and 47,885.24

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Solution

The fourth proportional to 92,302.94, 138,410.67 and 47,885.24 is: 71,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,302.94 : 138,410.67 = 47,885.24 : x
  2. Step 2: Convert to fraction form
    92,302.94/138,410.67 = 47,885.24/x
  3. Step 3: Cross multiply
    92,302.94x = 138,410.67 × 47,885.24
  4. Step 4: Simplify right side
    92,302.94x = 6,627,828,151.51
  5. Step 5: Solve for x
    x = 6,627,828,151.51/92,302.94
  6. Step 6: Final answer
    x = 71,805.17

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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.