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Finding the Fourth Proportional to 53,547, 73,802.56 and 35,609.92

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Solution

The fourth proportional to 53,547, 73,802.56 and 35,609.92 is: 49,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,547 : 73,802.56 = 35,609.92 : x
  2. Step 2: Convert to fraction form
    53,547/73,802.56 = 35,609.92/x
  3. Step 3: Cross multiply
    53,547x = 73,802.56 × 35,609.92
  4. Step 4: Simplify right side
    53,547x = 2,628,103,257.40
  5. Step 5: Solve for x
    x = 2,628,103,257.40/53,547
  6. Step 6: Final answer
    x = 49,080.31

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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.