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Finding the Fourth Proportional to 42,567.64, 63,860.84 and 12,987.76

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Solution

The fourth proportional to 42,567.64, 63,860.84 and 12,987.76 is: 19,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,567.64 : 63,860.84 = 12,987.76 : x
  2. Step 2: Convert to fraction form
    42,567.64/63,860.84 = 12,987.76/x
  3. Step 3: Cross multiply
    42,567.64x = 63,860.84 × 12,987.76
  4. Step 4: Simplify right side
    42,567.64x = 829,409,263.32
  5. Step 5: Solve for x
    x = 829,409,263.32/42,567.64
  6. Step 6: Final answer
    x = 19,484.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.