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Finding the Fourth Proportional to 75,780.58, 104,533.80 and 47,437.06

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Solution

The fourth proportional to 75,780.58, 104,533.80 and 47,437.06 is: 65,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,780.58 : 104,533.80 = 47,437.06 : x
  2. Step 2: Convert to fraction form
    75,780.58/104,533.80 = 47,437.06/x
  3. Step 3: Cross multiply
    75,780.58x = 104,533.80 × 47,437.06
  4. Step 4: Simplify right side
    75,780.58x = 4,958,776,142.63
  5. Step 5: Solve for x
    x = 4,958,776,142.63/75,780.58
  6. Step 6: Final answer
    x = 65,435.98

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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.