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Finding the Fourth Proportional to 53,983, 74,503.04 and 31,627

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Solution

The fourth proportional to 53,983, 74,503.04 and 31,627 is: 43,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,983 : 74,503.04 = 31,627 : x
  2. Step 2: Convert to fraction form
    53,983/74,503.04 = 31,627/x
  3. Step 3: Cross multiply
    53,983x = 74,503.04 × 31,627
  4. Step 4: Simplify right side
    53,983x = 2,356,307,646.08
  5. Step 5: Solve for x
    x = 2,356,307,646.08/53,983
  6. Step 6: Final answer
    x = 43,649.07

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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.