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Finding the Fourth Proportional to 48,547, 72,695.22 and 28,839.16

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Solution

The fourth proportional to 48,547, 72,695.22 and 28,839.16 is: 43,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,547 : 72,695.22 = 28,839.16 : x
  2. Step 2: Convert to fraction form
    48,547/72,695.22 = 28,839.16/x
  3. Step 3: Cross multiply
    48,547x = 72,695.22 × 28,839.16
  4. Step 4: Simplify right side
    48,547x = 2,096,469,080.82
  5. Step 5: Solve for x
    x = 2,096,469,080.82/48,547
  6. Step 6: Final answer
    x = 43,184.32

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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.