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Finding the Fourth Proportional to 65,130.01, 97,702.14 and 20,746.33

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Solution

The fourth proportional to 65,130.01, 97,702.14 and 20,746.33 is: 31,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.01 : 97,702.14 = 20,746.33 : x
  2. Step 2: Convert to fraction form
    65,130.01/97,702.14 = 20,746.33/x
  3. Step 3: Cross multiply
    65,130.01x = 97,702.14 × 20,746.33
  4. Step 4: Simplify right side
    65,130.01x = 2,026,960,838.15
  5. Step 5: Solve for x
    x = 2,026,960,838.15/65,130.01
  6. Step 6: Final answer
    x = 31,121.76

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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.