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Finding the Fourth Proportional to 107,056.93, 160,587.99 and 35,980.60

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Solution

The fourth proportional to 107,056.93, 160,587.99 and 35,980.60 is: 53,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,056.93 : 160,587.99 = 35,980.60 : x
  2. Step 2: Convert to fraction form
    107,056.93/160,587.99 = 35,980.60/x
  3. Step 3: Cross multiply
    107,056.93x = 160,587.99 × 35,980.60
  4. Step 4: Simplify right side
    107,056.93x = 5,778,051,831.52
  5. Step 5: Solve for x
    x = 5,778,051,831.52/107,056.93
  6. Step 6: Final answer
    x = 53,971.77

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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.