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Finding the Fourth Proportional to 30,416.10, 42,484.13 and 30,416.10

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Solution

The fourth proportional to 30,416.10, 42,484.13 and 30,416.10 is: 42,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.10 : 42,484.13 = 30,416.10 : x
  2. Step 2: Convert to fraction form
    30,416.10/42,484.13 = 30,416.10/x
  3. Step 3: Cross multiply
    30,416.10x = 42,484.13 × 30,416.10
  4. Step 4: Simplify right side
    30,416.10x = 1,292,201,394.41
  5. Step 5: Solve for x
    x = 1,292,201,394.41/30,416.10
  6. Step 6: Final answer
    x = 42,484.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.