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Finding the Fourth Proportional to 30,466.07, 42,047.09 and 17,038.07

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Solution

The fourth proportional to 30,466.07, 42,047.09 and 17,038.07 is: 23,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.07 : 42,047.09 = 17,038.07 : x
  2. Step 2: Convert to fraction form
    30,466.07/42,047.09 = 17,038.07/x
  3. Step 3: Cross multiply
    30,466.07x = 42,047.09 × 17,038.07
  4. Step 4: Simplify right side
    30,466.07x = 716,400,967.29
  5. Step 5: Solve for x
    x = 716,400,967.29/30,466.07
  6. Step 6: Final answer
    x = 23,514.72

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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.