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Finding the Fourth Proportional to 51,509.77, 71,085.23 and 28,849.71

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Solution

The fourth proportional to 51,509.77, 71,085.23 and 28,849.71 is: 39,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509.77 : 71,085.23 = 28,849.71 : x
  2. Step 2: Convert to fraction form
    51,509.77/71,085.23 = 28,849.71/x
  3. Step 3: Cross multiply
    51,509.77x = 71,085.23 × 28,849.71
  4. Step 4: Simplify right side
    51,509.77x = 2,050,788,501.29
  5. Step 5: Solve for x
    x = 2,050,788,501.29/51,509.77
  6. Step 6: Final answer
    x = 39,813.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.