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Finding the Fourth Proportional to 86,708, 119,657.04 and 46,964

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Solution

The fourth proportional to 86,708, 119,657.04 and 46,964 is: 64,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,708 : 119,657.04 = 46,964 : x
  2. Step 2: Convert to fraction form
    86,708/119,657.04 = 46,964/x
  3. Step 3: Cross multiply
    86,708x = 119,657.04 × 46,964
  4. Step 4: Simplify right side
    86,708x = 5,619,573,226.56
  5. Step 5: Solve for x
    x = 5,619,573,226.56/86,708
  6. Step 6: Final answer
    x = 64,810.32

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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.