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Finding the Fourth Proportional to 102,182.81, 153,275.07 and 35,622.81

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Solution

The fourth proportional to 102,182.81, 153,275.07 and 35,622.81 is: 53,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,182.81 : 153,275.07 = 35,622.81 : x
  2. Step 2: Convert to fraction form
    102,182.81/153,275.07 = 35,622.81/x
  3. Step 3: Cross multiply
    102,182.81x = 153,275.07 × 35,622.81
  4. Step 4: Simplify right side
    102,182.81x = 5,460,088,696.35
  5. Step 5: Solve for x
    x = 5,460,088,696.35/102,182.81
  6. Step 6: Final answer
    x = 53,434.52

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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.