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Finding the Fourth Proportional to 58,564.49, 87,815.14 and 30,415.10

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Solution

The fourth proportional to 58,564.49, 87,815.14 and 30,415.10 is: 45,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,564.49 : 87,815.14 = 30,415.10 : x
  2. Step 2: Convert to fraction form
    58,564.49/87,815.14 = 30,415.10/x
  3. Step 3: Cross multiply
    58,564.49x = 87,815.14 × 30,415.10
  4. Step 4: Simplify right side
    58,564.49x = 2,670,906,264.61
  5. Step 5: Solve for x
    x = 2,670,906,264.61/58,564.49
  6. Step 6: Final answer
    x = 45,606.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.