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Finding the Fourth Proportional to 83,592.35, 115,383.84 and 56,407.94

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Solution

The fourth proportional to 83,592.35, 115,383.84 and 56,407.94 is: 77,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592.35 : 115,383.84 = 56,407.94 : x
  2. Step 2: Convert to fraction form
    83,592.35/115,383.84 = 56,407.94/x
  3. Step 3: Cross multiply
    83,592.35x = 115,383.84 × 56,407.94
  4. Step 4: Simplify right side
    83,592.35x = 6,508,565,334.26
  5. Step 5: Solve for x
    x = 6,508,565,334.26/83,592.35
  6. Step 6: Final answer
    x = 77,860.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.