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Finding the Fourth Proportional to 76,322.16, 105,324.84 and 42,786

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Solution

The fourth proportional to 76,322.16, 105,324.84 and 42,786 is: 59,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322.16 : 105,324.84 = 42,786 : x
  2. Step 2: Convert to fraction form
    76,322.16/105,324.84 = 42,786/x
  3. Step 3: Cross multiply
    76,322.16x = 105,324.84 × 42,786
  4. Step 4: Simplify right side
    76,322.16x = 4,506,428,604.24
  5. Step 5: Solve for x
    x = 4,506,428,604.24/76,322.16
  6. Step 6: Final answer
    x = 59,044.83

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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.