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Finding the Fourth Proportional to 56,190.46, 77,536.23 and 31,038.46

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Solution

The fourth proportional to 56,190.46, 77,536.23 and 31,038.46 is: 42,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,190.46 : 77,536.23 = 31,038.46 : x
  2. Step 2: Convert to fraction form
    56,190.46/77,536.23 = 31,038.46/x
  3. Step 3: Cross multiply
    56,190.46x = 77,536.23 × 31,038.46
  4. Step 4: Simplify right side
    56,190.46x = 2,406,605,173.41
  5. Step 5: Solve for x
    x = 2,406,605,173.41/56,190.46
  6. Step 6: Final answer
    x = 42,829.43

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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.