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Finding the Fourth Proportional to 102,798, 154,199.70 and 32,677.29

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Solution

The fourth proportional to 102,798, 154,199.70 and 32,677.29 is: 49,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,798 : 154,199.70 = 32,677.29 : x
  2. Step 2: Convert to fraction form
    102,798/154,199.70 = 32,677.29/x
  3. Step 3: Cross multiply
    102,798x = 154,199.70 × 32,677.29
  4. Step 4: Simplify right side
    102,798x = 5,038,828,314.81
  5. Step 5: Solve for x
    x = 5,038,828,314.81/102,798
  6. Step 6: Final answer
    x = 49,016.79

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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.