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Finding the Fourth Proportional to 19,985.40, 29,978.10 and 19,132.20

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Solution

The fourth proportional to 19,985.40, 29,978.10 and 19,132.20 is: 28,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.40 : 29,978.10 = 19,132.20 : x
  2. Step 2: Convert to fraction form
    19,985.40/29,978.10 = 19,132.20/x
  3. Step 3: Cross multiply
    19,985.40x = 29,978.10 × 19,132.20
  4. Step 4: Simplify right side
    19,985.40x = 573,547,004.82
  5. Step 5: Solve for x
    x = 573,547,004.82/19,985.40
  6. Step 6: Final answer
    x = 28,698.30

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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.