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Finding the Fourth Proportional to 56,575.16, 78,073.74 and 31,083.16

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Solution

The fourth proportional to 56,575.16, 78,073.74 and 31,083.16 is: 42,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,575.16 : 78,073.74 = 31,083.16 : x
  2. Step 2: Convert to fraction form
    56,575.16/78,073.74 = 31,083.16/x
  3. Step 3: Cross multiply
    56,575.16x = 78,073.74 × 31,083.16
  4. Step 4: Simplify right side
    56,575.16x = 2,426,778,552.22
  5. Step 5: Solve for x
    x = 2,426,778,552.22/56,575.16
  6. Step 6: Final answer
    x = 42,894.78

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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.