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Finding the Fourth Proportional to 174,596, 261,852.48 and 48,233.45

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Solution

The fourth proportional to 174,596, 261,852.48 and 48,233.45 is: 72,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,596 : 261,852.48 = 48,233.45 : x
  2. Step 2: Convert to fraction form
    174,596/261,852.48 = 48,233.45/x
  3. Step 3: Cross multiply
    174,596x = 261,852.48 × 48,233.45
  4. Step 4: Simplify right side
    174,596x = 12,630,048,501.46
  5. Step 5: Solve for x
    x = 12,630,048,501.46/174,596
  6. Step 6: Final answer
    x = 72,338.70

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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.