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Finding the Fourth Proportional to 78,482.33, 117,607.70 and 46,428.26

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Solution

The fourth proportional to 78,482.33, 117,607.70 and 46,428.26 is: 69,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482.33 : 117,607.70 = 46,428.26 : x
  2. Step 2: Convert to fraction form
    78,482.33/117,607.70 = 46,428.26/x
  3. Step 3: Cross multiply
    78,482.33x = 117,607.70 × 46,428.26
  4. Step 4: Simplify right side
    78,482.33x = 5,460,320,053.42
  5. Step 5: Solve for x
    x = 5,460,320,053.42/78,482.33
  6. Step 6: Final answer
    x = 69,573.88

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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.