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Finding the Fourth Proportional to 58,532.64, 87,802.94 and 20,577.30

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Solution

The fourth proportional to 58,532.64, 87,802.94 and 20,577.30 is: 30,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,532.64 : 87,802.94 = 20,577.30 : x
  2. Step 2: Convert to fraction form
    58,532.64/87,802.94 = 20,577.30/x
  3. Step 3: Cross multiply
    58,532.64x = 87,802.94 × 20,577.30
  4. Step 4: Simplify right side
    58,532.64x = 1,806,747,334.38
  5. Step 5: Solve for x
    x = 1,806,747,334.38/58,532.64
  6. Step 6: Final answer
    x = 30,867.35

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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.