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Finding the Fourth Proportional to 30,598.42, 45,892.17 and 19,472.08

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Solution

The fourth proportional to 30,598.42, 45,892.17 and 19,472.08 is: 29,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.42 : 45,892.17 = 19,472.08 : x
  2. Step 2: Convert to fraction form
    30,598.42/45,892.17 = 19,472.08/x
  3. Step 3: Cross multiply
    30,598.42x = 45,892.17 × 19,472.08
  4. Step 4: Simplify right side
    30,598.42x = 893,616,005.61
  5. Step 5: Solve for x
    x = 893,616,005.61/30,598.42
  6. Step 6: Final answer
    x = 29,204.65

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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.