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Finding the Fourth Proportional to 77,905.63, 116,852.63 and 24,599.43

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Solution

The fourth proportional to 77,905.63, 116,852.63 and 24,599.43 is: 36,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,905.63 : 116,852.63 = 24,599.43 : x
  2. Step 2: Convert to fraction form
    77,905.63/116,852.63 = 24,599.43/x
  3. Step 3: Cross multiply
    77,905.63x = 116,852.63 × 24,599.43
  4. Step 4: Simplify right side
    77,905.63x = 2,874,507,969.00
  5. Step 5: Solve for x
    x = 2,874,507,969.00/77,905.63
  6. Step 6: Final answer
    x = 36,897.31

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Why These Related Problems?

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