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Finding the Fourth Proportional to 61,175.82, 84,373.93 and 50,547

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Solution

The fourth proportional to 61,175.82, 84,373.93 and 50,547 is: 69,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,175.82 : 84,373.93 = 50,547 : x
  2. Step 2: Convert to fraction form
    61,175.82/84,373.93 = 50,547/x
  3. Step 3: Cross multiply
    61,175.82x = 84,373.93 × 50,547
  4. Step 4: Simplify right side
    61,175.82x = 4,264,849,039.71
  5. Step 5: Solve for x
    x = 4,264,849,039.71/61,175.82
  6. Step 6: Final answer
    x = 69,714.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.