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Finding the Fourth Proportional to 78,075.68, 107,744.31 and 42,265.68

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Solution

The fourth proportional to 78,075.68, 107,744.31 and 42,265.68 is: 58,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,075.68 : 107,744.31 = 42,265.68 : x
  2. Step 2: Convert to fraction form
    78,075.68/107,744.31 = 42,265.68/x
  3. Step 3: Cross multiply
    78,075.68x = 107,744.31 × 42,265.68
  4. Step 4: Simplify right side
    78,075.68x = 4,553,886,124.24
  5. Step 5: Solve for x
    x = 4,553,886,124.24/78,075.68
  6. Step 6: Final answer
    x = 58,326.57

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1.5x scale

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.