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Finding the Fourth Proportional to 58,695.30, 82,406.70 and 58,695.30

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Solution

The fourth proportional to 58,695.30, 82,406.70 and 58,695.30 is: 82,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,695.30 : 82,406.70 = 58,695.30 : x
  2. Step 2: Convert to fraction form
    58,695.30/82,406.70 = 58,695.30/x
  3. Step 3: Cross multiply
    58,695.30x = 82,406.70 × 58,695.30
  4. Step 4: Simplify right side
    58,695.30x = 4,836,885,978.51
  5. Step 5: Solve for x
    x = 4,836,885,978.51/58,695.30
  6. Step 6: Final answer
    x = 82,406.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.