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Finding the Fourth Proportional to 32,925.60, 49,374 and 9,551.52

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Solution

The fourth proportional to 32,925.60, 49,374 and 9,551.52 is: 14,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,925.60 : 49,374 = 9,551.52 : x
  2. Step 2: Convert to fraction form
    32,925.60/49,374 = 9,551.52/x
  3. Step 3: Cross multiply
    32,925.60x = 49,374 × 9,551.52
  4. Step 4: Simplify right side
    32,925.60x = 471,596,748.48
  5. Step 5: Solve for x
    x = 471,596,748.48/32,925.60
  6. Step 6: Final answer
    x = 14,323.10

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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.