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Finding the Fourth Proportional to 42,777.60, 64,166.40 and 38,549.40

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Solution

The fourth proportional to 42,777.60, 64,166.40 and 38,549.40 is: 57,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777.60 : 64,166.40 = 38,549.40 : x
  2. Step 2: Convert to fraction form
    42,777.60/64,166.40 = 38,549.40/x
  3. Step 3: Cross multiply
    42,777.60x = 64,166.40 × 38,549.40
  4. Step 4: Simplify right side
    42,777.60x = 2,473,576,220.16
  5. Step 5: Solve for x
    x = 2,473,576,220.16/42,777.60
  6. Step 6: Final answer
    x = 57,824.10

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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.