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Finding the Fourth Proportional to 51,769.52, 77,526.76 and 29,528

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Solution

The fourth proportional to 51,769.52, 77,526.76 and 29,528 is: 44,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.52 : 77,526.76 = 29,528 : x
  2. Step 2: Convert to fraction form
    51,769.52/77,526.76 = 29,528/x
  3. Step 3: Cross multiply
    51,769.52x = 77,526.76 × 29,528
  4. Step 4: Simplify right side
    51,769.52x = 2,289,210,169.28
  5. Step 5: Solve for x
    x = 2,289,210,169.28/51,769.52
  6. Step 6: Final answer
    x = 44,219.27

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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.