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Finding the Fourth Proportional to 56,552.86, 78,020.58 and 32,675.14

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Solution

The fourth proportional to 56,552.86, 78,020.58 and 32,675.14 is: 45,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,552.86 : 78,020.58 = 32,675.14 : x
  2. Step 2: Convert to fraction form
    56,552.86/78,020.58 = 32,675.14/x
  3. Step 3: Cross multiply
    56,552.86x = 78,020.58 × 32,675.14
  4. Step 4: Simplify right side
    56,552.86x = 2,549,333,374.38
  5. Step 5: Solve for x
    x = 2,549,333,374.38/56,552.86
  6. Step 6: Final answer
    x = 45,078.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.