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Finding the Fourth Proportional to 77,534, 116,302.08 and 22,130

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Solution

The fourth proportional to 77,534, 116,302.08 and 22,130 is: 33,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534 : 116,302.08 = 22,130 : x
  2. Step 2: Convert to fraction form
    77,534/116,302.08 = 22,130/x
  3. Step 3: Cross multiply
    77,534x = 116,302.08 × 22,130
  4. Step 4: Simplify right side
    77,534x = 2,573,765,030.40
  5. Step 5: Solve for x
    x = 2,573,765,030.40/77,534
  6. Step 6: Final answer
    x = 33,195.31

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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.