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Finding the Fourth Proportional to 78,341.38, 108,135.76 and 50,047.07

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Solution

The fourth proportional to 78,341.38, 108,135.76 and 50,047.07 is: 69,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341.38 : 108,135.76 = 50,047.07 : x
  2. Step 2: Convert to fraction form
    78,341.38/108,135.76 = 50,047.07/x
  3. Step 3: Cross multiply
    78,341.38x = 108,135.76 × 50,047.07
  4. Step 4: Simplify right side
    78,341.38x = 5,411,877,378.26
  5. Step 5: Solve for x
    x = 5,411,877,378.26/78,341.38
  6. Step 6: Final answer
    x = 69,080.70

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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.