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Finding the Fourth Proportional to 76,472.70, 105,533.76 and 42,484.38

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Solution

The fourth proportional to 76,472.70, 105,533.76 and 42,484.38 is: 58,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.70 : 105,533.76 = 42,484.38 : x
  2. Step 2: Convert to fraction form
    76,472.70/105,533.76 = 42,484.38/x
  3. Step 3: Cross multiply
    76,472.70x = 105,533.76 × 42,484.38
  4. Step 4: Simplify right side
    76,472.70x = 4,483,536,362.67
  5. Step 5: Solve for x
    x = 4,483,536,362.67/76,472.70
  6. Step 6: Final answer
    x = 58,629.24

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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.