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Finding the Fourth Proportional to 97,294.40, 134,264.46 and 54,852.96

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Solution

The fourth proportional to 97,294.40, 134,264.46 and 54,852.96 is: 75,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294.40 : 134,264.46 = 54,852.96 : x
  2. Step 2: Convert to fraction form
    97,294.40/134,264.46 = 54,852.96/x
  3. Step 3: Cross multiply
    97,294.40x = 134,264.46 × 54,852.96
  4. Step 4: Simplify right side
    97,294.40x = 7,364,803,053.80
  5. Step 5: Solve for x
    x = 7,364,803,053.80/97,294.40
  6. Step 6: Final answer
    x = 75,696.06

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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.