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Finding the Fourth Proportional to 42,365.84, 63,547.16 and 12,782.88

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Solution

The fourth proportional to 42,365.84, 63,547.16 and 12,782.88 is: 19,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.84 : 63,547.16 = 12,782.88 : x
  2. Step 2: Convert to fraction form
    42,365.84/63,547.16 = 12,782.88/x
  3. Step 3: Cross multiply
    42,365.84x = 63,547.16 × 12,782.88
  4. Step 4: Simplify right side
    42,365.84x = 812,315,656.71
  5. Step 5: Solve for x
    x = 812,315,656.71/42,365.84
  6. Step 6: Final answer
    x = 19,173.84

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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.