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Finding the Fourth Proportional to 86,714, 119,665.32 and 46,970

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Solution

The fourth proportional to 86,714, 119,665.32 and 46,970 is: 64,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,714 : 119,665.32 = 46,970 : x
  2. Step 2: Convert to fraction form
    86,714/119,665.32 = 46,970/x
  3. Step 3: Cross multiply
    86,714x = 119,665.32 × 46,970
  4. Step 4: Simplify right side
    86,714x = 5,620,680,080.40
  5. Step 5: Solve for x
    x = 5,620,680,080.40/86,714
  6. Step 6: Final answer
    x = 64,818.60

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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.