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Finding the Fourth Proportional to 83,900.84, 115,783.08 and 46,177.52

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Solution

The fourth proportional to 83,900.84, 115,783.08 and 46,177.52 is: 63,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,900.84 : 115,783.08 = 46,177.52 : x
  2. Step 2: Convert to fraction form
    83,900.84/115,783.08 = 46,177.52/x
  3. Step 3: Cross multiply
    83,900.84x = 115,783.08 × 46,177.52
  4. Step 4: Simplify right side
    83,900.84x = 5,346,575,492.36
  5. Step 5: Solve for x
    x = 5,346,575,492.36/83,900.84
  6. Step 6: Final answer
    x = 63,724.93

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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.