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Finding the Fourth Proportional to 56,206.68, 77,565.06 and 31,056

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Solution

The fourth proportional to 56,206.68, 77,565.06 and 31,056 is: 42,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,206.68 : 77,565.06 = 31,056 : x
  2. Step 2: Convert to fraction form
    56,206.68/77,565.06 = 31,056/x
  3. Step 3: Cross multiply
    56,206.68x = 77,565.06 × 31,056
  4. Step 4: Simplify right side
    56,206.68x = 2,408,860,503.36
  5. Step 5: Solve for x
    x = 2,408,860,503.36/56,206.68
  6. Step 6: Final answer
    x = 42,857.19

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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.