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Finding the Fourth Proportional to 35,842.59, 53,752.95 and 9,543.91

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Solution

The fourth proportional to 35,842.59, 53,752.95 and 9,543.91 is: 14,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.59 : 53,752.95 = 9,543.91 : x
  2. Step 2: Convert to fraction form
    35,842.59/53,752.95 = 9,543.91/x
  3. Step 3: Cross multiply
    35,842.59x = 53,752.95 × 9,543.91
  4. Step 4: Simplify right side
    35,842.59x = 513,013,317.03
  5. Step 5: Solve for x
    x = 513,013,317.03/35,842.59
  6. Step 6: Final answer
    x = 14,312.95

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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.