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Finding the Fourth Proportional to 30,378.51, 45,567.50 and 9,602.01

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Solution

The fourth proportional to 30,378.51, 45,567.50 and 9,602.01 is: 14,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.51 : 45,567.50 = 9,602.01 : x
  2. Step 2: Convert to fraction form
    30,378.51/45,567.50 = 9,602.01/x
  3. Step 3: Cross multiply
    30,378.51x = 45,567.50 × 9,602.01
  4. Step 4: Simplify right side
    30,378.51x = 437,539,542.66
  5. Step 5: Solve for x
    x = 437,539,542.66/30,378.51
  6. Step 6: Final answer
    x = 14,402.93

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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.