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Finding the Fourth Proportional to 78,510.34, 108,346.26 and 42,702.40

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Solution

The fourth proportional to 78,510.34, 108,346.26 and 42,702.40 is: 58,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,510.34 : 108,346.26 = 42,702.40 : x
  2. Step 2: Convert to fraction form
    78,510.34/108,346.26 = 42,702.40/x
  3. Step 3: Cross multiply
    78,510.34x = 108,346.26 × 42,702.40
  4. Step 4: Simplify right side
    78,510.34x = 4,626,645,333.02
  5. Step 5: Solve for x
    x = 4,626,645,333.02/78,510.34
  6. Step 6: Final answer
    x = 58,930.39

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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.