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Finding the Fourth Proportional to 52,090.67, 78,112.67 and 31,040.66

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Solution

The fourth proportional to 52,090.67, 78,112.67 and 31,040.66 is: 46,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.67 : 78,112.67 = 31,040.66 : x
  2. Step 2: Convert to fraction form
    52,090.67/78,112.67 = 31,040.66/x
  3. Step 3: Cross multiply
    52,090.67x = 78,112.67 × 31,040.66
  4. Step 4: Simplify right side
    52,090.67x = 2,424,668,285.40
  5. Step 5: Solve for x
    x = 2,424,668,285.40/52,090.67
  6. Step 6: Final answer
    x = 46,547.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.