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Finding the Fourth Proportional to 32,730, 49,095 and 8,106

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Solution

The fourth proportional to 32,730, 49,095 and 8,106 is: 12,159

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730 : 49,095 = 8,106 : x
  2. Step 2: Convert to fraction form
    32,730/49,095 = 8,106/x
  3. Step 3: Cross multiply
    32,730x = 49,095 × 8,106
  4. Step 4: Simplify right side
    32,730x = 397,964,070
  5. Step 5: Solve for x
    x = 397,964,070/32,730
  6. Step 6: Final answer
    x = 12,159

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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.