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Finding the Fourth Proportional to 56,222, 77,585.32 and 31,070.96

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Solution

The fourth proportional to 56,222, 77,585.32 and 31,070.96 is: 42,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,222 : 77,585.32 = 31,070.96 : x
  2. Step 2: Convert to fraction form
    56,222/77,585.32 = 31,070.96/x
  3. Step 3: Cross multiply
    56,222x = 77,585.32 × 31,070.96
  4. Step 4: Simplify right side
    56,222x = 2,410,650,374.31
  5. Step 5: Solve for x
    x = 2,410,650,374.31/56,222
  6. Step 6: Final answer
    x = 42,877.35

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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.