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Finding the Fourth Proportional to 30,285.75, 45,430.45 and 9,509.25

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Solution

The fourth proportional to 30,285.75, 45,430.45 and 9,509.25 is: 14,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.75 : 45,430.45 = 9,509.25 : x
  2. Step 2: Convert to fraction form
    30,285.75/45,430.45 = 9,509.25/x
  3. Step 3: Cross multiply
    30,285.75x = 45,430.45 × 9,509.25
  4. Step 4: Simplify right side
    30,285.75x = 432,009,482.89
  5. Step 5: Solve for x
    x = 432,009,482.89/30,285.75
  6. Step 6: Final answer
    x = 14,264.45

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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.