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Finding the Fourth Proportional to 30,547.26, 45,820.86 and 8,360.82

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Solution

The fourth proportional to 30,547.26, 45,820.86 and 8,360.82 is: 12,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.26 : 45,820.86 = 8,360.82 : x
  2. Step 2: Convert to fraction form
    30,547.26/45,820.86 = 8,360.82/x
  3. Step 3: Cross multiply
    30,547.26x = 45,820.86 × 8,360.82
  4. Step 4: Simplify right side
    30,547.26x = 383,099,962.71
  5. Step 5: Solve for x
    x = 383,099,962.71/30,547.26
  6. Step 6: Final answer
    x = 12,541.22

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1.5x scale

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.