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Finding the Fourth Proportional to 42,417.60, 63,648 and 17,476.80

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Solution

The fourth proportional to 42,417.60, 63,648 and 17,476.80 is: 26,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417.60 : 63,648 = 17,476.80 : x
  2. Step 2: Convert to fraction form
    42,417.60/63,648 = 17,476.80/x
  3. Step 3: Cross multiply
    42,417.60x = 63,648 × 17,476.80
  4. Step 4: Simplify right side
    42,417.60x = 1,112,363,366.40
  5. Step 5: Solve for x
    x = 1,112,363,366.40/42,417.60
  6. Step 6: Final answer
    x = 26,224.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.