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Finding the Fourth Proportional to 102,323.16, 153,475.02 and 35,751

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Solution

The fourth proportional to 102,323.16, 153,475.02 and 35,751 is: 53,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,323.16 : 153,475.02 = 35,751 : x
  2. Step 2: Convert to fraction form
    102,323.16/153,475.02 = 35,751/x
  3. Step 3: Cross multiply
    102,323.16x = 153,475.02 × 35,751
  4. Step 4: Simplify right side
    102,323.16x = 5,486,885,440.02
  5. Step 5: Solve for x
    x = 5,486,885,440.02/102,323.16
  6. Step 6: Final answer
    x = 53,623.10

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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.