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Finding the Fourth Proportional to 65,085.19, 97,590.42 and 25,620.77

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Solution

The fourth proportional to 65,085.19, 97,590.42 and 25,620.77 is: 38,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,085.19 : 97,590.42 = 25,620.77 : x
  2. Step 2: Convert to fraction form
    65,085.19/97,590.42 = 25,620.77/x
  3. Step 3: Cross multiply
    65,085.19x = 97,590.42 × 25,620.77
  4. Step 4: Simplify right side
    65,085.19x = 2,500,341,949.00
  5. Step 5: Solve for x
    x = 2,500,341,949.00/65,085.19
  6. Step 6: Final answer
    x = 38,416.45

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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.