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Finding the Fourth Proportional to 74,392.48, 102,710.16 and 46,139.68

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Solution

The fourth proportional to 74,392.48, 102,710.16 and 46,139.68 is: 63,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,392.48 : 102,710.16 = 46,139.68 : x
  2. Step 2: Convert to fraction form
    74,392.48/102,710.16 = 46,139.68/x
  3. Step 3: Cross multiply
    74,392.48x = 102,710.16 × 46,139.68
  4. Step 4: Simplify right side
    74,392.48x = 4,739,013,915.15
  5. Step 5: Solve for x
    x = 4,739,013,915.15/74,392.48
  6. Step 6: Final answer
    x = 63,702.86

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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.