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Finding the Fourth Proportional to 38,592.35, 53,209.71 and 31,039.00

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Solution

The fourth proportional to 38,592.35, 53,209.71 and 31,039.00 is: 42,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,592.35 : 53,209.71 = 31,039.00 : x
  2. Step 2: Convert to fraction form
    38,592.35/53,209.71 = 31,039.00/x
  3. Step 3: Cross multiply
    38,592.35x = 53,209.71 × 31,039.00
  4. Step 4: Simplify right side
    38,592.35x = 1,651,576,055.67
  5. Step 5: Solve for x
    x = 1,651,576,055.67/38,592.35
  6. Step 6: Final answer
    x = 42,795.43

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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.