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Finding the Fourth Proportional to 97,893.91, 146,859.24 and 31,316.16

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Solution

The fourth proportional to 97,893.91, 146,859.24 and 31,316.16 is: 46,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,893.91 : 146,859.24 = 31,316.16 : x
  2. Step 2: Convert to fraction form
    97,893.91/146,859.24 = 31,316.16/x
  3. Step 3: Cross multiply
    97,893.91x = 146,859.24 × 31,316.16
  4. Step 4: Simplify right side
    97,893.91x = 4,599,068,125.48
  5. Step 5: Solve for x
    x = 4,599,068,125.48/97,893.91
  6. Step 6: Final answer
    x = 46,980.12

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1.5x scale

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.