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Finding the Fourth Proportional to 96,530.76, 133,212.06 and 54,090

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Solution

The fourth proportional to 96,530.76, 133,212.06 and 54,090 is: 74,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,530.76 : 133,212.06 = 54,090 : x
  2. Step 2: Convert to fraction form
    96,530.76/133,212.06 = 54,090/x
  3. Step 3: Cross multiply
    96,530.76x = 133,212.06 × 54,090
  4. Step 4: Simplify right side
    96,530.76x = 7,205,440,325.40
  5. Step 5: Solve for x
    x = 7,205,440,325.40/96,530.76
  6. Step 6: Final answer
    x = 74,643.98

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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.