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Finding the Fourth Proportional to 56,415, 77,852.70 and 31,266.12

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Solution

The fourth proportional to 56,415, 77,852.70 and 31,266.12 is: 43,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415 : 77,852.70 = 31,266.12 : x
  2. Step 2: Convert to fraction form
    56,415/77,852.70 = 31,266.12/x
  3. Step 3: Cross multiply
    56,415x = 77,852.70 × 31,266.12
  4. Step 4: Simplify right side
    56,415x = 2,434,151,860.52
  5. Step 5: Solve for x
    x = 2,434,151,860.52/56,415
  6. Step 6: Final answer
    x = 43,147.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.