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Finding the Fourth Proportional to 112,716, 169,085.29 and 41,657.31

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Solution

The fourth proportional to 112,716, 169,085.29 and 41,657.31 is: 62,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,716 : 169,085.29 = 41,657.31 : x
  2. Step 2: Convert to fraction form
    112,716/169,085.29 = 41,657.31/x
  3. Step 3: Cross multiply
    112,716x = 169,085.29 × 41,657.31
  4. Step 4: Simplify right side
    112,716x = 7,043,638,341.97
  5. Step 5: Solve for x
    x = 7,043,638,341.97/112,716
  6. Step 6: Final answer
    x = 62,490.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.