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Finding the Fourth Proportional to 96,506.64, 144,748.80 and 26,391.60

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Solution

The fourth proportional to 96,506.64, 144,748.80 and 26,391.60 is: 39,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,506.64 : 144,748.80 = 26,391.60 : x
  2. Step 2: Convert to fraction form
    96,506.64/144,748.80 = 26,391.60/x
  3. Step 3: Cross multiply
    96,506.64x = 144,748.80 × 26,391.60
  4. Step 4: Simplify right side
    96,506.64x = 3,820,152,430.08
  5. Step 5: Solve for x
    x = 3,820,152,430.08/96,506.64
  6. Step 6: Final answer
    x = 39,584.35

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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.