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Finding the Fourth Proportional to 83,957.86, 115,857.69 and 46,225.06

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Solution

The fourth proportional to 83,957.86, 115,857.69 and 46,225.06 is: 63,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.86 : 115,857.69 = 46,225.06 : x
  2. Step 2: Convert to fraction form
    83,957.86/115,857.69 = 46,225.06/x
  3. Step 3: Cross multiply
    83,957.86x = 115,857.69 × 46,225.06
  4. Step 4: Simplify right side
    83,957.86x = 5,355,528,671.71
  5. Step 5: Solve for x
    x = 5,355,528,671.71/83,957.86
  6. Step 6: Final answer
    x = 63,788.29

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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.