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Finding the Fourth Proportional to 97,470.44, 134,501.70 and 55,033.16

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Solution

The fourth proportional to 97,470.44, 134,501.70 and 55,033.16 is: 75,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470.44 : 134,501.70 = 55,033.16 : x
  2. Step 2: Convert to fraction form
    97,470.44/134,501.70 = 55,033.16/x
  3. Step 3: Cross multiply
    97,470.44x = 134,501.70 × 55,033.16
  4. Step 4: Simplify right side
    97,470.44x = 7,402,053,576.37
  5. Step 5: Solve for x
    x = 7,402,053,576.37/97,470.44
  6. Step 6: Final answer
    x = 75,941.52

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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.