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Finding the Fourth Proportional to 52,176.42, 77,637.02 and 52,001.46

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Solution

The fourth proportional to 52,176.42, 77,637.02 and 52,001.46 is: 77,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.42 : 77,637.02 = 52,001.46 : x
  2. Step 2: Convert to fraction form
    52,176.42/77,637.02 = 52,001.46/x
  3. Step 3: Cross multiply
    52,176.42x = 77,637.02 × 52,001.46
  4. Step 4: Simplify right side
    52,176.42x = 4,037,238,130.04
  5. Step 5: Solve for x
    x = 4,037,238,130.04/52,176.42
  6. Step 6: Final answer
    x = 77,376.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.