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Finding the Fourth Proportional to 56,373.75, 77,798.25 and 31,223.25

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Solution

The fourth proportional to 56,373.75, 77,798.25 and 31,223.25 is: 43,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,373.75 : 77,798.25 = 31,223.25 : x
  2. Step 2: Convert to fraction form
    56,373.75/77,798.25 = 31,223.25/x
  3. Step 3: Cross multiply
    56,373.75x = 77,798.25 × 31,223.25
  4. Step 4: Simplify right side
    56,373.75x = 2,429,114,209.31
  5. Step 5: Solve for x
    x = 2,429,114,209.31/56,373.75
  6. Step 6: Final answer
    x = 43,089.46

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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.