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Finding the Fourth Proportional to 74,156.64, 102,308.40 and 46,934.16

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Solution

The fourth proportional to 74,156.64, 102,308.40 and 46,934.16 is: 64,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,156.64 : 102,308.40 = 46,934.16 : x
  2. Step 2: Convert to fraction form
    74,156.64/102,308.40 = 46,934.16/x
  3. Step 3: Cross multiply
    74,156.64x = 102,308.40 × 46,934.16
  4. Step 4: Simplify right side
    74,156.64x = 4,801,758,814.94
  5. Step 5: Solve for x
    x = 4,801,758,814.94/74,156.64
  6. Step 6: Final answer
    x = 64,751.57

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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.