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Finding the Fourth Proportional to 76,133, 105,063.54 and 42,605.48

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Solution

The fourth proportional to 76,133, 105,063.54 and 42,605.48 is: 58,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,133 : 105,063.54 = 42,605.48 : x
  2. Step 2: Convert to fraction form
    76,133/105,063.54 = 42,605.48/x
  3. Step 3: Cross multiply
    76,133x = 105,063.54 × 42,605.48
  4. Step 4: Simplify right side
    76,133x = 4,476,282,552.20
  5. Step 5: Solve for x
    x = 4,476,282,552.20/76,133
  6. Step 6: Final answer
    x = 58,795.56

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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.