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Finding the Fourth Proportional to 78,075.42, 107,743.35 and 42,264.51

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Solution

The fourth proportional to 78,075.42, 107,743.35 and 42,264.51 is: 58,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,075.42 : 107,743.35 = 42,264.51 : x
  2. Step 2: Convert to fraction form
    78,075.42/107,743.35 = 42,264.51/x
  3. Step 3: Cross multiply
    78,075.42x = 107,743.35 × 42,264.51
  4. Step 4: Simplify right side
    78,075.42x = 4,553,719,893.51
  5. Step 5: Solve for x
    x = 4,553,719,893.51/78,075.42
  6. Step 6: Final answer
    x = 58,324.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.