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Finding the Fourth Proportional to 42,852.77, 64,279.16 and 14,780.87

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Solution

The fourth proportional to 42,852.77, 64,279.16 and 14,780.87 is: 22,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,852.77 : 64,279.16 = 14,780.87 : x
  2. Step 2: Convert to fraction form
    42,852.77/64,279.16 = 14,780.87/x
  3. Step 3: Cross multiply
    42,852.77x = 64,279.16 × 14,780.87
  4. Step 4: Simplify right side
    42,852.77x = 950,101,907.67
  5. Step 5: Solve for x
    x = 950,101,907.67/42,852.77
  6. Step 6: Final answer
    x = 22,171.31

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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.