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Finding the Fourth Proportional to 105,582.40, 158,152.80 and 49,470.40

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Solution

The fourth proportional to 105,582.40, 158,152.80 and 49,470.40 is: 74,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,582.40 : 158,152.80 = 49,470.40 : x
  2. Step 2: Convert to fraction form
    105,582.40/158,152.80 = 49,470.40/x
  3. Step 3: Cross multiply
    105,582.40x = 158,152.80 × 49,470.40
  4. Step 4: Simplify right side
    105,582.40x = 7,823,882,277.12
  5. Step 5: Solve for x
    x = 7,823,882,277.12/105,582.40
  6. Step 6: Final answer
    x = 74,102.14

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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.