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Finding the Fourth Proportional to 34,875.84, 48,152.88 and 21,464.40

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Solution

The fourth proportional to 34,875.84, 48,152.88 and 21,464.40 is: 29,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,875.84 : 48,152.88 = 21,464.40 : x
  2. Step 2: Convert to fraction form
    34,875.84/48,152.88 = 21,464.40/x
  3. Step 3: Cross multiply
    34,875.84x = 48,152.88 × 21,464.40
  4. Step 4: Simplify right side
    34,875.84x = 1,033,572,677.47
  5. Step 5: Solve for x
    x = 1,033,572,677.47/34,875.84
  6. Step 6: Final answer
    x = 29,635.78

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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.