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Finding the Fourth Proportional to 35,830.60, 53,746.35 and 9,535.18

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Solution

The fourth proportional to 35,830.60, 53,746.35 and 9,535.18 is: 14,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.60 : 53,746.35 = 9,535.18 : x
  2. Step 2: Convert to fraction form
    35,830.60/53,746.35 = 9,535.18/x
  3. Step 3: Cross multiply
    35,830.60x = 53,746.35 × 9,535.18
  4. Step 4: Simplify right side
    35,830.60x = 512,481,121.59
  5. Step 5: Solve for x
    x = 512,481,121.59/35,830.60
  6. Step 6: Final answer
    x = 14,302.89

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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.