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Finding the Fourth Proportional to 86,642.50, 119,567.01 and 46,898.50

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Solution

The fourth proportional to 86,642.50, 119,567.01 and 46,898.50 is: 64,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,642.50 : 119,567.01 = 46,898.50 : x
  2. Step 2: Convert to fraction form
    86,642.50/119,567.01 = 46,898.50/x
  3. Step 3: Cross multiply
    86,642.50x = 119,567.01 × 46,898.50
  4. Step 4: Simplify right side
    86,642.50x = 5,607,513,418.49
  5. Step 5: Solve for x
    x = 5,607,513,418.49/86,642.50
  6. Step 6: Final answer
    x = 64,720.12

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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.