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Finding the Fourth Proportional to 56,398.68, 77,830.74 and 31,248

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Solution

The fourth proportional to 56,398.68, 77,830.74 and 31,248 is: 43,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,398.68 : 77,830.74 = 31,248 : x
  2. Step 2: Convert to fraction form
    56,398.68/77,830.74 = 31,248/x
  3. Step 3: Cross multiply
    56,398.68x = 77,830.74 × 31,248
  4. Step 4: Simplify right side
    56,398.68x = 2,432,054,963.52
  5. Step 5: Solve for x
    x = 2,432,054,963.52/56,398.68
  6. Step 6: Final answer
    x = 43,122.55

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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.