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Finding the Fourth Proportional to 86,643, 119,567.34 and 46,899

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Solution

The fourth proportional to 86,643, 119,567.34 and 46,899 is: 64,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,643 : 119,567.34 = 46,899 : x
  2. Step 2: Convert to fraction form
    86,643/119,567.34 = 46,899/x
  3. Step 3: Cross multiply
    86,643x = 119,567.34 × 46,899
  4. Step 4: Simplify right side
    86,643x = 5,607,588,678.66
  5. Step 5: Solve for x
    x = 5,607,588,678.66/86,643
  6. Step 6: Final answer
    x = 64,720.62

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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.