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Finding the Fourth Proportional to 59,567.08, 82,203.44 and 32,712

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Solution

The fourth proportional to 59,567.08, 82,203.44 and 32,712 is: 45,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,567.08 : 82,203.44 = 32,712 : x
  2. Step 2: Convert to fraction form
    59,567.08/82,203.44 = 32,712/x
  3. Step 3: Cross multiply
    59,567.08x = 82,203.44 × 32,712
  4. Step 4: Simplify right side
    59,567.08x = 2,689,038,929.28
  5. Step 5: Solve for x
    x = 2,689,038,929.28/59,567.08
  6. Step 6: Final answer
    x = 45,143.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.