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Finding the Fourth Proportional to 30,425.95, 45,642.76 and 10,430.02

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Solution

The fourth proportional to 30,425.95, 45,642.76 and 10,430.02 is: 15,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425.95 : 45,642.76 = 10,430.02 : x
  2. Step 2: Convert to fraction form
    30,425.95/45,642.76 = 10,430.02/x
  3. Step 3: Cross multiply
    30,425.95x = 45,642.76 × 10,430.02
  4. Step 4: Simplify right side
    30,425.95x = 476,054,673.89
  5. Step 5: Solve for x
    x = 476,054,673.89/30,425.95
  6. Step 6: Final answer
    x = 15,646.34

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