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Finding the Fourth Proportional to 58,946.88, 88,417.44 and 22,008

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Solution

The fourth proportional to 58,946.88, 88,417.44 and 22,008 is: 33,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,946.88 : 88,417.44 = 22,008 : x
  2. Step 2: Convert to fraction form
    58,946.88/88,417.44 = 22,008/x
  3. Step 3: Cross multiply
    58,946.88x = 88,417.44 × 22,008
  4. Step 4: Simplify right side
    58,946.88x = 1,945,891,019.52
  5. Step 5: Solve for x
    x = 1,945,891,019.52/58,946.88
  6. Step 6: Final answer
    x = 33,010.92

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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.