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Finding the Fourth Proportional to 107,094.33, 160,643.16 and 40,565.79

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Solution

The fourth proportional to 107,094.33, 160,643.16 and 40,565.79 is: 60,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,094.33 : 160,643.16 = 40,565.79 : x
  2. Step 2: Convert to fraction form
    107,094.33/160,643.16 = 40,565.79/x
  3. Step 3: Cross multiply
    107,094.33x = 160,643.16 × 40,565.79
  4. Step 4: Simplify right side
    107,094.33x = 6,516,616,693.50
  5. Step 5: Solve for x
    x = 6,516,616,693.50/107,094.33
  6. Step 6: Final answer
    x = 60,849.32

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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.