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Finding the Fourth Proportional to 32,798, 49,205.32 and 9,424.46

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Solution

The fourth proportional to 32,798, 49,205.32 and 9,424.46 is: 14,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798 : 49,205.32 = 9,424.46 : x
  2. Step 2: Convert to fraction form
    32,798/49,205.32 = 9,424.46/x
  3. Step 3: Cross multiply
    32,798x = 49,205.32 × 9,424.46
  4. Step 4: Simplify right side
    32,798x = 463,733,570.13
  5. Step 5: Solve for x
    x = 463,733,570.13/32,798
  6. Step 6: Final answer
    x = 14,139.08

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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.