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Finding the Fourth Proportional to 32,984.83, 49,543.42 and 19,683.77

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Solution

The fourth proportional to 32,984.83, 49,543.42 and 19,683.77 is: 29,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.83 : 49,543.42 = 19,683.77 : x
  2. Step 2: Convert to fraction form
    32,984.83/49,543.42 = 19,683.77/x
  3. Step 3: Cross multiply
    32,984.83x = 49,543.42 × 19,683.77
  4. Step 4: Simplify right side
    32,984.83x = 975,201,284.29
  5. Step 5: Solve for x
    x = 975,201,284.29/32,984.83
  6. Step 6: Final answer
    x = 29,565.15

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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.