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Finding the Fourth Proportional to 37,196, 55,802.19 and 12,235.04

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Solution

The fourth proportional to 37,196, 55,802.19 and 12,235.04 is: 18,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,196 : 55,802.19 = 12,235.04 : x
  2. Step 2: Convert to fraction form
    37,196/55,802.19 = 12,235.04/x
  3. Step 3: Cross multiply
    37,196x = 55,802.19 × 12,235.04
  4. Step 4: Simplify right side
    37,196x = 682,742,026.74
  5. Step 5: Solve for x
    x = 682,742,026.74/37,196
  6. Step 6: Final answer
    x = 18,355.25

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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.