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Finding the Fourth Proportional to 42,071.42, 63,113.40 and 12,485.76

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Solution

The fourth proportional to 42,071.42, 63,113.40 and 12,485.76 is: 18,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,071.42 : 63,113.40 = 12,485.76 : x
  2. Step 2: Convert to fraction form
    42,071.42/63,113.40 = 12,485.76/x
  3. Step 3: Cross multiply
    42,071.42x = 63,113.40 × 12,485.76
  4. Step 4: Simplify right side
    42,071.42x = 788,018,765.18
  5. Step 5: Solve for x
    x = 788,018,765.18/42,071.42
  6. Step 6: Final answer
    x = 18,730.50

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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.