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Finding the Fourth Proportional to 76,266.18, 105,248.08 and 42,275.40

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Solution

The fourth proportional to 76,266.18, 105,248.08 and 42,275.40 is: 58,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,266.18 : 105,248.08 = 42,275.40 : x
  2. Step 2: Convert to fraction form
    76,266.18/105,248.08 = 42,275.40/x
  3. Step 3: Cross multiply
    76,266.18x = 105,248.08 × 42,275.40
  4. Step 4: Simplify right side
    76,266.18x = 4,449,404,681.23
  5. Step 5: Solve for x
    x = 4,449,404,681.23/76,266.18
  6. Step 6: Final answer
    x = 58,340.47

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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.