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Finding the Fourth Proportional to 58,086.57, 87,135.05 and 22,547.06

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Solution

The fourth proportional to 58,086.57, 87,135.05 and 22,547.06 is: 33,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,086.57 : 87,135.05 = 22,547.06 : x
  2. Step 2: Convert to fraction form
    58,086.57/87,135.05 = 22,547.06/x
  3. Step 3: Cross multiply
    58,086.57x = 87,135.05 × 22,547.06
  4. Step 4: Simplify right side
    58,086.57x = 1,964,638,821.15
  5. Step 5: Solve for x
    x = 1,964,638,821.15/58,086.57
  6. Step 6: Final answer
    x = 33,822.60

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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.