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Finding the Fourth Proportional to 42,242, 63,293.04 and 29,700.76

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Solution

The fourth proportional to 42,242, 63,293.04 and 29,700.76 is: 44,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,242 : 63,293.04 = 29,700.76 : x
  2. Step 2: Convert to fraction form
    42,242/63,293.04 = 29,700.76/x
  3. Step 3: Cross multiply
    42,242x = 63,293.04 × 29,700.76
  4. Step 4: Simplify right side
    42,242x = 1,879,850,925.74
  5. Step 5: Solve for x
    x = 1,879,850,925.74/42,242
  6. Step 6: Final answer
    x = 44,501.94

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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.