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Finding the Fourth Proportional to 64,821.47, 97,232.21 and 15,573.47

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Solution

The fourth proportional to 64,821.47, 97,232.21 and 15,573.47 is: 23,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821.47 : 97,232.21 = 15,573.47 : x
  2. Step 2: Convert to fraction form
    64,821.47/97,232.21 = 15,573.47/x
  3. Step 3: Cross multiply
    64,821.47x = 97,232.21 × 15,573.47
  4. Step 4: Simplify right side
    64,821.47x = 1,514,242,341.44
  5. Step 5: Solve for x
    x = 1,514,242,341.44/64,821.47
  6. Step 6: Final answer
    x = 23,360.20

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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.