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Finding the Fourth Proportional to 70,547.70, 105,820.16 and 17,240.02

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Solution

The fourth proportional to 70,547.70, 105,820.16 and 17,240.02 is: 25,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,547.70 : 105,820.16 = 17,240.02 : x
  2. Step 2: Convert to fraction form
    70,547.70/105,820.16 = 17,240.02/x
  3. Step 3: Cross multiply
    70,547.70x = 105,820.16 × 17,240.02
  4. Step 4: Simplify right side
    70,547.70x = 1,824,341,674.80
  5. Step 5: Solve for x
    x = 1,824,341,674.80/70,547.70
  6. Step 6: Final answer
    x = 25,859.69

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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.