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Finding the Fourth Proportional to 102,332, 153,506.64 and 28,460

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Solution

The fourth proportional to 102,332, 153,506.64 and 28,460 is: 42,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,332 : 153,506.64 = 28,460 : x
  2. Step 2: Convert to fraction form
    102,332/153,506.64 = 28,460/x
  3. Step 3: Cross multiply
    102,332x = 153,506.64 × 28,460
  4. Step 4: Simplify right side
    102,332x = 4,368,798,974.40
  5. Step 5: Solve for x
    x = 4,368,798,974.40/102,332
  6. Step 6: Final answer
    x = 42,692.40

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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.