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Finding the Fourth Proportional to 64,532.70, 89,030.24 and 47,577.24

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Solution

The fourth proportional to 64,532.70, 89,030.24 and 47,577.24 is: 65,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,532.70 : 89,030.24 = 47,577.24 : x
  2. Step 2: Convert to fraction form
    64,532.70/89,030.24 = 47,577.24/x
  3. Step 3: Cross multiply
    64,532.70x = 89,030.24 × 47,577.24
  4. Step 4: Simplify right side
    64,532.70x = 4,235,813,036.27
  5. Step 5: Solve for x
    x = 4,235,813,036.27/64,532.70
  6. Step 6: Final answer
    x = 65,638.24

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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.