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Finding the Fourth Proportional to 30,457.05, 42,031.02 and 17,029.05

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Solution

The fourth proportional to 30,457.05, 42,031.02 and 17,029.05 is: 23,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.05 : 42,031.02 = 17,029.05 : x
  2. Step 2: Convert to fraction form
    30,457.05/42,031.02 = 17,029.05/x
  3. Step 3: Cross multiply
    30,457.05x = 42,031.02 × 17,029.05
  4. Step 4: Simplify right side
    30,457.05x = 715,748,341.13
  5. Step 5: Solve for x
    x = 715,748,341.13/30,457.05
  6. Step 6: Final answer
    x = 23,500.25

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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.