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Finding the Fourth Proportional to 76,554.64, 105,650.15 and 42,563.40

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Solution

The fourth proportional to 76,554.64, 105,650.15 and 42,563.40 is: 58,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,554.64 : 105,650.15 = 42,563.40 : x
  2. Step 2: Convert to fraction form
    76,554.64/105,650.15 = 42,563.40/x
  3. Step 3: Cross multiply
    76,554.64x = 105,650.15 × 42,563.40
  4. Step 4: Simplify right side
    76,554.64x = 4,496,829,594.51
  5. Step 5: Solve for x
    x = 4,496,829,594.51/76,554.64
  6. Step 6: Final answer
    x = 58,740.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.