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Finding the Fourth Proportional to 86,598, 119,505.60 and 46,854

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Solution

The fourth proportional to 86,598, 119,505.60 and 46,854 is: 64,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,598 : 119,505.60 = 46,854 : x
  2. Step 2: Convert to fraction form
    86,598/119,505.60 = 46,854/x
  3. Step 3: Cross multiply
    86,598x = 119,505.60 × 46,854
  4. Step 4: Simplify right side
    86,598x = 5,599,315,382.40
  5. Step 5: Solve for x
    x = 5,599,315,382.40/86,598
  6. Step 6: Final answer
    x = 64,658.71

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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.