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Finding the Fourth Proportional to 77,347.40, 116,031.90 and 32,973.80

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Solution

The fourth proportional to 77,347.40, 116,031.90 and 32,973.80 is: 49,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,347.40 : 116,031.90 = 32,973.80 : x
  2. Step 2: Convert to fraction form
    77,347.40/116,031.90 = 32,973.80/x
  3. Step 3: Cross multiply
    77,347.40x = 116,031.90 × 32,973.80
  4. Step 4: Simplify right side
    77,347.40x = 3,826,012,664.22
  5. Step 5: Solve for x
    x = 3,826,012,664.22/77,347.40
  6. Step 6: Final answer
    x = 49,465.30

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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.