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Finding the Fourth Proportional to 67,547, 101,320.50 and 18,299

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Solution

The fourth proportional to 67,547, 101,320.50 and 18,299 is: 27,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,547 : 101,320.50 = 18,299 : x
  2. Step 2: Convert to fraction form
    67,547/101,320.50 = 18,299/x
  3. Step 3: Cross multiply
    67,547x = 101,320.50 × 18,299
  4. Step 4: Simplify right side
    67,547x = 1,854,063,829.50
  5. Step 5: Solve for x
    x = 1,854,063,829.50/67,547
  6. Step 6: Final answer
    x = 27,448.50

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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.