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Finding the Fourth Proportional to 30,484.64, 42,070 and 17,909.28

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Solution

The fourth proportional to 30,484.64, 42,070 and 17,909.28 is: 24,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,484.64 : 42,070 = 17,909.28 : x
  2. Step 2: Convert to fraction form
    30,484.64/42,070 = 17,909.28/x
  3. Step 3: Cross multiply
    30,484.64x = 42,070 × 17,909.28
  4. Step 4: Simplify right side
    30,484.64x = 753,443,409.60
  5. Step 5: Solve for x
    x = 753,443,409.60/30,484.64
  6. Step 6: Final answer
    x = 24,715.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.