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Finding the Fourth Proportional to 58,492.57, 80,719.75 and 31,635.08

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Solution

The fourth proportional to 58,492.57, 80,719.75 and 31,635.08 is: 43,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,492.57 : 80,719.75 = 31,635.08 : x
  2. Step 2: Convert to fraction form
    58,492.57/80,719.75 = 31,635.08/x
  3. Step 3: Cross multiply
    58,492.57x = 80,719.75 × 31,635.08
  4. Step 4: Simplify right side
    58,492.57x = 2,553,575,669.74
  5. Step 5: Solve for x
    x = 2,553,575,669.74/58,492.57
  6. Step 6: Final answer
    x = 43,656.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.