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Finding the Fourth Proportional to 31,240.14, 46,859.80 and 7,547.50

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Solution

The fourth proportional to 31,240.14, 46,859.80 and 7,547.50 is: 11,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.14 : 46,859.80 = 7,547.50 : x
  2. Step 2: Convert to fraction form
    31,240.14/46,859.80 = 7,547.50/x
  3. Step 3: Cross multiply
    31,240.14x = 46,859.80 × 7,547.50
  4. Step 4: Simplify right side
    31,240.14x = 353,674,340.50
  5. Step 5: Solve for x
    x = 353,674,340.50/31,240.14
  6. Step 6: Final answer
    x = 11,321.15

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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.