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Finding the Fourth Proportional to 56,506.50, 77,981.40 and 31,356

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Solution

The fourth proportional to 56,506.50, 77,981.40 and 31,356 is: 43,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,506.50 : 77,981.40 = 31,356 : x
  2. Step 2: Convert to fraction form
    56,506.50/77,981.40 = 31,356/x
  3. Step 3: Cross multiply
    56,506.50x = 77,981.40 × 31,356
  4. Step 4: Simplify right side
    56,506.50x = 2,445,184,778.40
  5. Step 5: Solve for x
    x = 2,445,184,778.40/56,506.50
  6. Step 6: Final answer
    x = 43,272.63

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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.