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Finding the Fourth Proportional to 46,875, 70,329.78 and 24,687.48

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Solution

The fourth proportional to 46,875, 70,329.78 and 24,687.48 is: 37,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,875 : 70,329.78 = 24,687.48 : x
  2. Step 2: Convert to fraction form
    46,875/70,329.78 = 24,687.48/x
  3. Step 3: Cross multiply
    46,875x = 70,329.78 × 24,687.48
  4. Step 4: Simplify right side
    46,875x = 1,736,265,037.15
  5. Step 5: Solve for x
    x = 1,736,265,037.15/46,875
  6. Step 6: Final answer
    x = 37,040.32

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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.