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Finding the Fourth Proportional to 97,303.98, 134,275.41 and 54,866.46

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Solution

The fourth proportional to 97,303.98, 134,275.41 and 54,866.46 is: 75,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,303.98 : 134,275.41 = 54,866.46 : x
  2. Step 2: Convert to fraction form
    97,303.98/134,275.41 = 54,866.46/x
  3. Step 3: Cross multiply
    97,303.98x = 134,275.41 × 54,866.46
  4. Step 4: Simplify right side
    97,303.98x = 7,367,216,411.75
  5. Step 5: Solve for x
    x = 7,367,216,411.75/97,303.98
  6. Step 6: Final answer
    x = 75,713.41

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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.