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Finding the Fourth Proportional to 114,389.84, 171,582.33 and 31,283.84

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Solution

The fourth proportional to 114,389.84, 171,582.33 and 31,283.84 is: 46,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,389.84 : 171,582.33 = 31,283.84 : x
  2. Step 2: Convert to fraction form
    114,389.84/171,582.33 = 31,283.84/x
  3. Step 3: Cross multiply
    114,389.84x = 171,582.33 × 31,283.84
  4. Step 4: Simplify right side
    114,389.84x = 5,367,754,158.55
  5. Step 5: Solve for x
    x = 5,367,754,158.55/114,389.84
  6. Step 6: Final answer
    x = 46,925.10

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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.