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Finding the Fourth Proportional to 30,335, 45,502.50 and 8,447

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Solution

The fourth proportional to 30,335, 45,502.50 and 8,447 is: 12,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335 : 45,502.50 = 8,447 : x
  2. Step 2: Convert to fraction form
    30,335/45,502.50 = 8,447/x
  3. Step 3: Cross multiply
    30,335x = 45,502.50 × 8,447
  4. Step 4: Simplify right side
    30,335x = 384,359,617.50
  5. Step 5: Solve for x
    x = 384,359,617.50/30,335
  6. Step 6: Final answer
    x = 12,670.50

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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.