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Finding the Fourth Proportional to 78,352, 108,125.76 and 43,024

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Solution

The fourth proportional to 78,352, 108,125.76 and 43,024 is: 59,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,352 : 108,125.76 = 43,024 : x
  2. Step 2: Convert to fraction form
    78,352/108,125.76 = 43,024/x
  3. Step 3: Cross multiply
    78,352x = 108,125.76 × 43,024
  4. Step 4: Simplify right side
    78,352x = 4,652,002,698.24
  5. Step 5: Solve for x
    x = 4,652,002,698.24/78,352
  6. Step 6: Final answer
    x = 59,373.12

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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.