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Finding the Fourth Proportional to 102,852.90, 154,290.42 and 32,715.81

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Solution

The fourth proportional to 102,852.90, 154,290.42 and 32,715.81 is: 49,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,852.90 : 154,290.42 = 32,715.81 : x
  2. Step 2: Convert to fraction form
    102,852.90/154,290.42 = 32,715.81/x
  3. Step 3: Cross multiply
    102,852.90x = 154,290.42 × 32,715.81
  4. Step 4: Simplify right side
    102,852.90x = 5,047,736,065.54
  5. Step 5: Solve for x
    x = 5,047,736,065.54/102,852.90
  6. Step 6: Final answer
    x = 49,077.24

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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.