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Finding the Fourth Proportional to 122,702.65, 184,048.71 and 38,460.93

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Solution

The fourth proportional to 122,702.65, 184,048.71 and 38,460.93 is: 57,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,702.65 : 184,048.71 = 38,460.93 : x
  2. Step 2: Convert to fraction form
    122,702.65/184,048.71 = 38,460.93/x
  3. Step 3: Cross multiply
    122,702.65x = 184,048.71 × 38,460.93
  4. Step 4: Simplify right side
    122,702.65x = 7,078,683,717.49
  5. Step 5: Solve for x
    x = 7,078,683,717.49/122,702.65
  6. Step 6: Final answer
    x = 57,689.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.