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Finding the Fourth Proportional to 53,483.34, 73,807.77 and 29,610

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Solution

The fourth proportional to 53,483.34, 73,807.77 and 29,610 is: 40,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,483.34 : 73,807.77 = 29,610 : x
  2. Step 2: Convert to fraction form
    53,483.34/73,807.77 = 29,610/x
  3. Step 3: Cross multiply
    53,483.34x = 73,807.77 × 29,610
  4. Step 4: Simplify right side
    53,483.34x = 2,185,448,069.70
  5. Step 5: Solve for x
    x = 2,185,448,069.70/53,483.34
  6. Step 6: Final answer
    x = 40,862.22

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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.