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Finding the Fourth Proportional to 76,497.30, 105,574.50 and 46,299.24

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Solution

The fourth proportional to 76,497.30, 105,574.50 and 46,299.24 is: 63,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.30 : 105,574.50 = 46,299.24 : x
  2. Step 2: Convert to fraction form
    76,497.30/105,574.50 = 46,299.24/x
  3. Step 3: Cross multiply
    76,497.30x = 105,574.50 × 46,299.24
  4. Step 4: Simplify right side
    76,497.30x = 4,888,019,113.38
  5. Step 5: Solve for x
    x = 4,888,019,113.38/76,497.30
  6. Step 6: Final answer
    x = 63,897.93

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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.