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Finding the Fourth Proportional to 56,852.48, 78,452.08 and 31,359.80

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Solution

The fourth proportional to 56,852.48, 78,452.08 and 31,359.80 is: 43,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,852.48 : 78,452.08 = 31,359.80 : x
  2. Step 2: Convert to fraction form
    56,852.48/78,452.08 = 31,359.80/x
  3. Step 3: Cross multiply
    56,852.48x = 78,452.08 × 31,359.80
  4. Step 4: Simplify right side
    56,852.48x = 2,460,241,538.38
  5. Step 5: Solve for x
    x = 2,460,241,538.38/56,852.48
  6. Step 6: Final answer
    x = 43,274.13

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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.