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Finding the Fourth Proportional to 53,788.29, 74,223.43 and 31,128.94

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Solution

The fourth proportional to 53,788.29, 74,223.43 and 31,128.94 is: 42,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,788.29 : 74,223.43 = 31,128.94 : x
  2. Step 2: Convert to fraction form
    53,788.29/74,223.43 = 31,128.94/x
  3. Step 3: Cross multiply
    53,788.29x = 74,223.43 × 31,128.94
  4. Step 4: Simplify right side
    53,788.29x = 2,310,496,699.06
  5. Step 5: Solve for x
    x = 2,310,496,699.06/53,788.29
  6. Step 6: Final answer
    x = 42,955.38

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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.