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Finding the Fourth Proportional to 78,047.21, 107,705.16 and 42,237.23

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Solution

The fourth proportional to 78,047.21, 107,705.16 and 42,237.23 is: 58,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,047.21 : 107,705.16 = 42,237.23 : x
  2. Step 2: Convert to fraction form
    78,047.21/107,705.16 = 42,237.23/x
  3. Step 3: Cross multiply
    78,047.21x = 107,705.16 × 42,237.23
  4. Step 4: Simplify right side
    78,047.21x = 4,549,167,615.11
  5. Step 5: Solve for x
    x = 4,549,167,615.11/78,047.21
  6. Step 6: Final answer
    x = 58,287.38

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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.