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Finding the Fourth Proportional to 124,596, 186,971.76 and 50,724

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Solution

The fourth proportional to 124,596, 186,971.76 and 50,724 is: 76,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,596 : 186,971.76 = 50,724 : x
  2. Step 2: Convert to fraction form
    124,596/186,971.76 = 50,724/x
  3. Step 3: Cross multiply
    124,596x = 186,971.76 × 50,724
  4. Step 4: Simplify right side
    124,596x = 9,483,955,554.24
  5. Step 5: Solve for x
    x = 9,483,955,554.24/124,596
  6. Step 6: Final answer
    x = 76,117.66

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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.