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Finding the Fourth Proportional to 65,038.72, 97,566.36 and 20,649.64

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Solution

The fourth proportional to 65,038.72, 97,566.36 and 20,649.64 is: 30,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.72 : 97,566.36 = 20,649.64 : x
  2. Step 2: Convert to fraction form
    65,038.72/97,566.36 = 20,649.64/x
  3. Step 3: Cross multiply
    65,038.72x = 97,566.36 × 20,649.64
  4. Step 4: Simplify right side
    65,038.72x = 2,014,710,210.11
  5. Step 5: Solve for x
    x = 2,014,710,210.11/65,038.72
  6. Step 6: Final answer
    x = 30,977.09

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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.