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Finding the Fourth Proportional to 65,114.52, 97,702.16 and 23,026.47

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Solution

The fourth proportional to 65,114.52, 97,702.16 and 23,026.47 is: 34,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.52 : 97,702.16 = 23,026.47 : x
  2. Step 2: Convert to fraction form
    65,114.52/97,702.16 = 23,026.47/x
  3. Step 3: Cross multiply
    65,114.52x = 97,702.16 × 23,026.47
  4. Step 4: Simplify right side
    65,114.52x = 2,249,735,741.04
  5. Step 5: Solve for x
    x = 2,249,735,741.04/65,114.52
  6. Step 6: Final answer
    x = 34,550.45

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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.