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Finding the Fourth Proportional to 72,931.80, 109,397.70 and 23,683.80

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Solution

The fourth proportional to 72,931.80, 109,397.70 and 23,683.80 is: 35,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,931.80 : 109,397.70 = 23,683.80 : x
  2. Step 2: Convert to fraction form
    72,931.80/109,397.70 = 23,683.80/x
  3. Step 3: Cross multiply
    72,931.80x = 109,397.70 × 23,683.80
  4. Step 4: Simplify right side
    72,931.80x = 2,590,953,247.26
  5. Step 5: Solve for x
    x = 2,590,953,247.26/72,931.80
  6. Step 6: Final answer
    x = 35,525.70

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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.