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Finding the Fourth Proportional to 78,385.50, 117,597.78 and 22,981.50

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Solution

The fourth proportional to 78,385.50, 117,597.78 and 22,981.50 is: 34,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,385.50 : 117,597.78 = 22,981.50 : x
  2. Step 2: Convert to fraction form
    78,385.50/117,597.78 = 22,981.50/x
  3. Step 3: Cross multiply
    78,385.50x = 117,597.78 × 22,981.50
  4. Step 4: Simplify right side
    78,385.50x = 2,702,573,381.07
  5. Step 5: Solve for x
    x = 2,702,573,381.07/78,385.50
  6. Step 6: Final answer
    x = 34,477.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.