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Finding the Fourth Proportional to 58,564.51, 87,762.71 and 33,284.16

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Solution

The fourth proportional to 58,564.51, 87,762.71 and 33,284.16 is: 49,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,564.51 : 87,762.71 = 33,284.16 : x
  2. Step 2: Convert to fraction form
    58,564.51/87,762.71 = 33,284.16/x
  3. Step 3: Cross multiply
    58,564.51x = 87,762.71 × 33,284.16
  4. Step 4: Simplify right side
    58,564.51x = 2,921,108,164.88
  5. Step 5: Solve for x
    x = 2,921,108,164.88/58,564.51
  6. Step 6: Final answer
    x = 49,878.47

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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.