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Finding the Fourth Proportional to 42,054.48, 63,089.28 and 14,346

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Solution

The fourth proportional to 42,054.48, 63,089.28 and 14,346 is: 21,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,054.48 : 63,089.28 = 14,346 : x
  2. Step 2: Convert to fraction form
    42,054.48/63,089.28 = 14,346/x
  3. Step 3: Cross multiply
    42,054.48x = 63,089.28 × 14,346
  4. Step 4: Simplify right side
    42,054.48x = 905,078,810.88
  5. Step 5: Solve for x
    x = 905,078,810.88/42,054.48
  6. Step 6: Final answer
    x = 21,521.58

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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.