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Finding the Fourth Proportional to 94,324, 130,167.20 and 54,580

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Solution

The fourth proportional to 94,324, 130,167.20 and 54,580 is: 75,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,324 : 130,167.20 = 54,580 : x
  2. Step 2: Convert to fraction form
    94,324/130,167.20 = 54,580/x
  3. Step 3: Cross multiply
    94,324x = 130,167.20 × 54,580
  4. Step 4: Simplify right side
    94,324x = 7,104,525,776
  5. Step 5: Solve for x
    x = 7,104,525,776/94,324
  6. Step 6: Final answer
    x = 75,320.45

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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.