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Finding the Fourth Proportional to 56,470.86, 77,895.90 and 37,351.08

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Solution

The fourth proportional to 56,470.86, 77,895.90 and 37,351.08 is: 51,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,470.86 : 77,895.90 = 37,351.08 : x
  2. Step 2: Convert to fraction form
    56,470.86/77,895.90 = 37,351.08/x
  3. Step 3: Cross multiply
    56,470.86x = 77,895.90 × 37,351.08
  4. Step 4: Simplify right side
    56,470.86x = 2,909,495,992.57
  5. Step 5: Solve for x
    x = 2,909,495,992.57/56,470.86
  6. Step 6: Final answer
    x = 51,522.08

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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.