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Finding the Fourth Proportional to 30,285.59, 45,430.31 and 9,509.91

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Solution

The fourth proportional to 30,285.59, 45,430.31 and 9,509.91 is: 14,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.59 : 45,430.31 = 9,509.91 : x
  2. Step 2: Convert to fraction form
    30,285.59/45,430.31 = 9,509.91/x
  3. Step 3: Cross multiply
    30,285.59x = 45,430.31 × 9,509.91
  4. Step 4: Simplify right side
    30,285.59x = 432,038,159.37
  5. Step 5: Solve for x
    x = 432,038,159.37/30,285.59
  6. Step 6: Final answer
    x = 14,265.47

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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.