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Finding the Fourth Proportional to 32,643.83, 48,970.10 and 12,917.77

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Solution

The fourth proportional to 32,643.83, 48,970.10 and 12,917.77 is: 19,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643.83 : 48,970.10 = 12,917.77 : x
  2. Step 2: Convert to fraction form
    32,643.83/48,970.10 = 12,917.77/x
  3. Step 3: Cross multiply
    32,643.83x = 48,970.10 × 12,917.77
  4. Step 4: Simplify right side
    32,643.83x = 632,584,301.66
  5. Step 5: Solve for x
    x = 632,584,301.66/32,643.83
  6. Step 6: Final answer
    x = 19,378.38

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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.