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Finding the Fourth Proportional to 86,645, 119,570.10 and 46,901

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Solution

The fourth proportional to 86,645, 119,570.10 and 46,901 is: 64,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,645 : 119,570.10 = 46,901 : x
  2. Step 2: Convert to fraction form
    86,645/119,570.10 = 46,901/x
  3. Step 3: Cross multiply
    86,645x = 119,570.10 × 46,901
  4. Step 4: Simplify right side
    86,645x = 5,607,957,260.10
  5. Step 5: Solve for x
    x = 5,607,957,260.10/86,645
  6. Step 6: Final answer
    x = 64,723.38

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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.