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Finding the Fourth Proportional to 78,478.84, 117,681.36 and 28,523.68

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Solution

The fourth proportional to 78,478.84, 117,681.36 and 28,523.68 is: 42,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.84 : 117,681.36 = 28,523.68 : x
  2. Step 2: Convert to fraction form
    78,478.84/117,681.36 = 28,523.68/x
  3. Step 3: Cross multiply
    78,478.84x = 117,681.36 × 28,523.68
  4. Step 4: Simplify right side
    78,478.84x = 3,356,705,454.60
  5. Step 5: Solve for x
    x = 3,356,705,454.60/78,478.84
  6. Step 6: Final answer
    x = 42,772.11

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1.5x scale

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.