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Finding the Fourth Proportional to 92,038.69, 138,080.25 and 32,058.39

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Solution

The fourth proportional to 92,038.69, 138,080.25 and 32,058.39 is: 48,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,038.69 : 138,080.25 = 32,058.39 : x
  2. Step 2: Convert to fraction form
    92,038.69/138,080.25 = 32,058.39/x
  3. Step 3: Cross multiply
    92,038.69x = 138,080.25 × 32,058.39
  4. Step 4: Simplify right side
    92,038.69x = 4,426,631,023.60
  5. Step 5: Solve for x
    x = 4,426,631,023.60/92,038.69
  6. Step 6: Final answer
    x = 48,095.33

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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.