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Finding the Fourth Proportional to 30,602.88, 42,243.12 and 18,038.16

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Solution

The fourth proportional to 30,602.88, 42,243.12 and 18,038.16 is: 24,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.88 : 42,243.12 = 18,038.16 : x
  2. Step 2: Convert to fraction form
    30,602.88/42,243.12 = 18,038.16/x
  3. Step 3: Cross multiply
    30,602.88x = 42,243.12 × 18,038.16
  4. Step 4: Simplify right side
    30,602.88x = 761,988,157.46
  5. Step 5: Solve for x
    x = 761,988,157.46/30,602.88
  6. Step 6: Final answer
    x = 24,899.23

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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.