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Finding the Fourth Proportional to 65,129.84, 97,628.82 and 25,714.76

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Solution

The fourth proportional to 65,129.84, 97,628.82 and 25,714.76 is: 38,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.84 : 97,628.82 = 25,714.76 : x
  2. Step 2: Convert to fraction form
    65,129.84/97,628.82 = 25,714.76/x
  3. Step 3: Cross multiply
    65,129.84x = 97,628.82 × 25,714.76
  4. Step 4: Simplify right side
    65,129.84x = 2,510,501,675.38
  5. Step 5: Solve for x
    x = 2,510,501,675.38/65,129.84
  6. Step 6: Final answer
    x = 38,546.11

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1.5x scale

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.