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Finding the Fourth Proportional to 42,275.84, 63,417.38 and 11,111

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Solution

The fourth proportional to 42,275.84, 63,417.38 and 11,111 is: 16,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,275.84 : 63,417.38 = 11,111 : x
  2. Step 2: Convert to fraction form
    42,275.84/63,417.38 = 11,111/x
  3. Step 3: Cross multiply
    42,275.84x = 63,417.38 × 11,111
  4. Step 4: Simplify right side
    42,275.84x = 704,630,509.18
  5. Step 5: Solve for x
    x = 704,630,509.18/42,275.84
  6. Step 6: Final answer
    x = 16,667.45

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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.