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Finding the Fourth Proportional to 65,133.30, 97,652.70 and 44,021.10

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Solution

The fourth proportional to 65,133.30, 97,652.70 and 44,021.10 is: 65,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.30 : 97,652.70 = 44,021.10 : x
  2. Step 2: Convert to fraction form
    65,133.30/97,652.70 = 44,021.10/x
  3. Step 3: Cross multiply
    65,133.30x = 97,652.70 × 44,021.10
  4. Step 4: Simplify right side
    65,133.30x = 4,298,779,271.97
  5. Step 5: Solve for x
    x = 4,298,779,271.97/65,133.30
  6. Step 6: Final answer
    x = 65,999.72

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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.