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Finding the Fourth Proportional to 30,776, 42,470.88 and 17,528

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Solution

The fourth proportional to 30,776, 42,470.88 and 17,528 is: 24,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776 : 42,470.88 = 17,528 : x
  2. Step 2: Convert to fraction form
    30,776/42,470.88 = 17,528/x
  3. Step 3: Cross multiply
    30,776x = 42,470.88 × 17,528
  4. Step 4: Simplify right side
    30,776x = 744,429,584.64
  5. Step 5: Solve for x
    x = 744,429,584.64/30,776
  6. Step 6: Final answer
    x = 24,188.64

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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.