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Finding the Fourth Proportional to 46,501.50, 69,752.25 and 15,339.18

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Solution

The fourth proportional to 46,501.50, 69,752.25 and 15,339.18 is: 23,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,501.50 : 69,752.25 = 15,339.18 : x
  2. Step 2: Convert to fraction form
    46,501.50/69,752.25 = 15,339.18/x
  3. Step 3: Cross multiply
    46,501.50x = 69,752.25 × 15,339.18
  4. Step 4: Simplify right side
    46,501.50x = 1,069,942,318.16
  5. Step 5: Solve for x
    x = 1,069,942,318.16/46,501.50
  6. Step 6: Final answer
    x = 23,008.77

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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.