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Finding the Fourth Proportional to 86,452, 119,303.76 and 46,708

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Solution

The fourth proportional to 86,452, 119,303.76 and 46,708 is: 64,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,452 : 119,303.76 = 46,708 : x
  2. Step 2: Convert to fraction form
    86,452/119,303.76 = 46,708/x
  3. Step 3: Cross multiply
    86,452x = 119,303.76 × 46,708
  4. Step 4: Simplify right side
    86,452x = 5,572,440,022.08
  5. Step 5: Solve for x
    x = 5,572,440,022.08/86,452
  6. Step 6: Final answer
    x = 64,457.04

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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.