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Finding the Fourth Proportional to 85,905, 128,859.93 and 23,575.50

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Solution

The fourth proportional to 85,905, 128,859.93 and 23,575.50 is: 35,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,905 : 128,859.93 = 23,575.50 : x
  2. Step 2: Convert to fraction form
    85,905/128,859.93 = 23,575.50/x
  3. Step 3: Cross multiply
    85,905x = 128,859.93 × 23,575.50
  4. Step 4: Simplify right side
    85,905x = 3,037,937,279.72
  5. Step 5: Solve for x
    x = 3,037,937,279.72/85,905
  6. Step 6: Final answer
    x = 35,363.92

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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.