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Finding the Fourth Proportional to 76,483.47, 105,462.10 and 52,288.38

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Solution

The fourth proportional to 76,483.47, 105,462.10 and 52,288.38 is: 72,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,483.47 : 105,462.10 = 52,288.38 : x
  2. Step 2: Convert to fraction form
    76,483.47/105,462.10 = 52,288.38/x
  3. Step 3: Cross multiply
    76,483.47x = 105,462.10 × 52,288.38
  4. Step 4: Simplify right side
    76,483.47x = 5,514,442,821.24
  5. Step 5: Solve for x
    x = 5,514,442,821.24/76,483.47
  6. Step 6: Final answer
    x = 72,099.80

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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.