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Finding the Fourth Proportional to 78,302.75, 108,017.37 and 49,573.76

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Solution

The fourth proportional to 78,302.75, 108,017.37 and 49,573.76 is: 68,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.75 : 108,017.37 = 49,573.76 : x
  2. Step 2: Convert to fraction form
    78,302.75/108,017.37 = 49,573.76/x
  3. Step 3: Cross multiply
    78,302.75x = 108,017.37 × 49,573.76
  4. Step 4: Simplify right side
    78,302.75x = 5,354,827,176.21
  5. Step 5: Solve for x
    x = 5,354,827,176.21/78,302.75
  6. Step 6: Final answer
    x = 68,386.20

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1.5x scale

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.