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Finding the Fourth Proportional to 103,681.93, 155,547.57 and 33,561.24

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Solution

The fourth proportional to 103,681.93, 155,547.57 and 33,561.24 is: 50,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681.93 : 155,547.57 = 33,561.24 : x
  2. Step 2: Convert to fraction form
    103,681.93/155,547.57 = 33,561.24/x
  3. Step 3: Cross multiply
    103,681.93x = 155,547.57 × 33,561.24
  4. Step 4: Simplify right side
    103,681.93x = 5,220,369,328.19
  5. Step 5: Solve for x
    x = 5,220,369,328.19/103,681.93
  6. Step 6: Final answer
    x = 50,349.85

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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.