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Finding the Fourth Proportional to 91,345.64, 137,018.64 and 35,212.19

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Solution

The fourth proportional to 91,345.64, 137,018.64 and 35,212.19 is: 52,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,345.64 : 137,018.64 = 35,212.19 : x
  2. Step 2: Convert to fraction form
    91,345.64/137,018.64 = 35,212.19/x
  3. Step 3: Cross multiply
    91,345.64x = 137,018.64 × 35,212.19
  4. Step 4: Simplify right side
    91,345.64x = 4,824,725,524.07
  5. Step 5: Solve for x
    x = 4,824,725,524.07/91,345.64
  6. Step 6: Final answer
    x = 52,818.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.