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Finding the Fourth Proportional to 34,424.22, 47,510.79 and 19,323

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Solution

The fourth proportional to 34,424.22, 47,510.79 and 19,323 is: 26,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,424.22 : 47,510.79 = 19,323 : x
  2. Step 2: Convert to fraction form
    34,424.22/47,510.79 = 19,323/x
  3. Step 3: Cross multiply
    34,424.22x = 47,510.79 × 19,323
  4. Step 4: Simplify right side
    34,424.22x = 918,050,995.17
  5. Step 5: Solve for x
    x = 918,050,995.17/34,424.22
  6. Step 6: Final answer
    x = 26,668.75

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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.