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Finding the Fourth Proportional to 94,638.47, 130,601.25 and 51,618

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Solution

The fourth proportional to 94,638.47, 130,601.25 and 51,618 is: 71,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,638.47 : 130,601.25 = 51,618 : x
  2. Step 2: Convert to fraction form
    94,638.47/130,601.25 = 51,618/x
  3. Step 3: Cross multiply
    94,638.47x = 130,601.25 × 51,618
  4. Step 4: Simplify right side
    94,638.47x = 6,741,375,322.50
  5. Step 5: Solve for x
    x = 6,741,375,322.50/94,638.47
  6. Step 6: Final answer
    x = 71,232.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.