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Finding the Fourth Proportional to 30,215, 45,290.10 and 14,598.20

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Solution

The fourth proportional to 30,215, 45,290.10 and 14,598.20 is: 21,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215 : 45,290.10 = 14,598.20 : x
  2. Step 2: Convert to fraction form
    30,215/45,290.10 = 14,598.20/x
  3. Step 3: Cross multiply
    30,215x = 45,290.10 × 14,598.20
  4. Step 4: Simplify right side
    30,215x = 661,153,937.82
  5. Step 5: Solve for x
    x = 661,153,937.82/30,215
  6. Step 6: Final answer
    x = 21,881.65

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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.