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Finding the Fourth Proportional to 78,507.29, 108,301.93 and 46,653.64

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Solution

The fourth proportional to 78,507.29, 108,301.93 and 46,653.64 is: 64,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,507.29 : 108,301.93 = 46,653.64 : x
  2. Step 2: Convert to fraction form
    78,507.29/108,301.93 = 46,653.64/x
  3. Step 3: Cross multiply
    78,507.29x = 108,301.93 × 46,653.64
  4. Step 4: Simplify right side
    78,507.29x = 5,052,678,866.14
  5. Step 5: Solve for x
    x = 5,052,678,866.14/78,507.29
  6. Step 6: Final answer
    x = 64,359.36

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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.