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Finding the Fourth Proportional to 69,164.40, 103,746.60 and 65,009.10

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Solution

The fourth proportional to 69,164.40, 103,746.60 and 65,009.10 is: 97,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,164.40 : 103,746.60 = 65,009.10 : x
  2. Step 2: Convert to fraction form
    69,164.40/103,746.60 = 65,009.10/x
  3. Step 3: Cross multiply
    69,164.40x = 103,746.60 × 65,009.10
  4. Step 4: Simplify right side
    69,164.40x = 6,744,473,094.06
  5. Step 5: Solve for x
    x = 6,744,473,094.06/69,164.40
  6. Step 6: Final answer
    x = 97,513.65

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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.