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Finding the Fourth Proportional to 58,926.84, 81,329.58 and 37,705.38

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Solution

The fourth proportional to 58,926.84, 81,329.58 and 37,705.38 is: 52,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,926.84 : 81,329.58 = 37,705.38 : x
  2. Step 2: Convert to fraction form
    58,926.84/81,329.58 = 37,705.38/x
  3. Step 3: Cross multiply
    58,926.84x = 81,329.58 × 37,705.38
  4. Step 4: Simplify right side
    58,926.84x = 3,066,562,719.14
  5. Step 5: Solve for x
    x = 3,066,562,719.14/58,926.84
  6. Step 6: Final answer
    x = 52,040.17

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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.