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Finding the Fourth Proportional to 58,952.81, 81,354.75 and 32,095.51

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Solution

The fourth proportional to 58,952.81, 81,354.75 and 32,095.51 is: 44,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,952.81 : 81,354.75 = 32,095.51 : x
  2. Step 2: Convert to fraction form
    58,952.81/81,354.75 = 32,095.51/x
  3. Step 3: Cross multiply
    58,952.81x = 81,354.75 × 32,095.51
  4. Step 4: Simplify right side
    58,952.81x = 2,611,121,868.43
  5. Step 5: Solve for x
    x = 2,611,121,868.43/58,952.81
  6. Step 6: Final answer
    x = 44,291.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.