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Finding the Fourth Proportional to 42,547.86, 63,820.62 and 12,964.50

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Solution

The fourth proportional to 42,547.86, 63,820.62 and 12,964.50 is: 19,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,547.86 : 63,820.62 = 12,964.50 : x
  2. Step 2: Convert to fraction form
    42,547.86/63,820.62 = 12,964.50/x
  3. Step 3: Cross multiply
    42,547.86x = 63,820.62 × 12,964.50
  4. Step 4: Simplify right side
    42,547.86x = 827,402,427.99
  5. Step 5: Solve for x
    x = 827,402,427.99/42,547.86
  6. Step 6: Final answer
    x = 19,446.39

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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.